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irinina [24]
3 years ago
7

(3x^-2y)*(8xy^-3) --- SOLVE

Mathematics
2 answers:
Eduardwww [97]3 years ago
8 0
(3x^2-2y)*( 8xy ^{-3} )

Remove parentheses : (a) = a

= (3x^2-2y) * 8xy ^{-3}

y^{-3}

Apply  expoent rule

 a ^{-b} =  \frac{1}{a ^{b} }

<span>= \frac{1}{y^3}</span>

8x \frac{1}{y^3} (3x^2-2y)

Multiply fractions:

a* \frac{b}{c} =  \frac{a*b}{c}

=  \frac{8(3x^2-2y)}{y^3}

hope this helps!

Oksana_A [137]3 years ago
5 0
1<span> </span>Use Negative Power Rule: <span /><span><span><span><span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>−</span><span>a</span></span></span><span /></span></span></span><span>=</span><span><span><span><span>1</span><span /></span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>a</span></span></span><span /></span></span></span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>x−a=1xa</span></span>
<span /><span><span><span><span><span><span>3</span><span>×</span><span><span><span><span>1</span><span /></span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>2</span></span></span><span /></span></span></span><span /></span><span><span /><span /></span></span></span><span>y</span><span>×</span><span>8</span><span>x<span /></span><span><span><span><span><span><span>y</span></span></span><span /></span><span><span><span><span>−</span><span>3</span></span></span><span /></span></span></span></span><span /></span></span><span /></span><span>3×1x2y×8xy−3</span></span>
2<span> </span>Use Negative Power Rule: <span /><span><span><span><span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>−</span><span>a</span></span></span><span /></span></span></span><span>=</span><span><span><span><span>1</span><span /></span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>a</span></span></span><span /></span></span></span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>x−a=1xa</span></span>
<span /><span><span><span><span><span><span>3</span><span>×</span><span><span><span><span>1</span><span /></span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>2</span></span></span><span /></span></span></span><span /></span><span><span /><span /></span></span></span><span>y</span><span>×</span><span>8</span><span>x<span /></span><span>×</span><span><span><span><span>1</span><span /></span><span><span><span><span><span><span><span>y</span></span></span><span /></span><span><span><span><span>3</span></span></span><span /></span></span></span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>3×1x2y×8x×1y3</span></span>
3<span> </span>Simplify
<span /><span><span><span><span><span><span><span><span><span><span>24</span><span>y</span><span>x<span /></span></span><span /></span><span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>2</span></span></span><span /></span></span></span><span><span><span><span><span><span>y</span></span></span><span /></span><span><span><span><span>3</span></span></span><span /></span></span></span></span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>24yxx2y3</span></span>
4<span> </span>Use Quotient Rule: <span /><span><span><span><span><span><span><span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>a</span></span></span><span /></span></span></span><span /></span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>b</span></span></span><span /></span></span></span><span /></span><span><span /><span /></span></span></span><span>=</span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>a</span><span>−</span><span>b</span></span></span><span /></span></span></span></span><span /></span></span><span /></span><span>xaxb=xa−b</span></span>
<span /><span><span><span><span><span><span>24</span><span><span><span><span><span><span>y</span></span></span><span /></span><span><span><span><span>1</span><span>−</span><span>3</span></span></span><span /></span></span></span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>1</span><span>−</span><span>2</span></span></span><span /></span></span></span></span><span /></span></span><span /></span><span>24y1−3x1−2</span></span>
5<span> </span>Simplify <span /><span><span><span><span><span><span>1</span><span>−</span><span>3</span></span><span /></span></span><span /></span><span>1−3</span></span> to <span /><span><span><span><span><span><span>−</span><span>2</span></span><span /></span></span><span /></span><span>−2</span></span>
<span /><span><span><span><span><span><span>24</span><span><span><span><span><span><span>y</span></span></span><span /></span><span><span><span><span>−</span><span>2</span></span></span><span /></span></span></span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>1</span><span>−</span><span>2</span></span></span><span /></span></span></span></span><span /></span></span><span /></span><span>24y−2x1−2</span></span>
6<span> </span>Simplify <span /><span><span><span><span><span><span>1</span><span>−</span><span>2</span></span><span /></span></span><span /></span><span>1−2</span></span> to <span /><span><span><span><span><span><span>−</span><span>1</span></span><span /></span></span><span /></span><span>−1</span></span>
<span /><span><span><span><span><span><span>24</span><span><span><span><span><span><span>y</span></span></span><span /></span><span><span><span><span>−</span><span>2</span></span></span><span /></span></span></span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>−</span><span>1</span></span></span><span /></span></span></span></span><span /></span></span><span /></span><span>24y−2x−1</span></span>
7<span> </span>Use Negative Power Rule: <span /><span><span><span><span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>−</span><span>a</span></span></span><span /></span></span></span><span>=</span><span><span><span><span>1</span><span /></span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>a</span></span></span><span /></span></span></span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>x−a=1xa</span></span>
<span /><span><span><span><span><span><span>24</span><span>×</span><span><span><span><span>1</span><span /></span><span><span><span><span><span><span><span>y</span></span></span><span /></span><span><span><span><span>2</span></span></span><span /></span></span></span><span /></span><span><span /><span /></span></span></span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>−</span><span>1</span></span></span><span /></span></span></span></span><span /></span></span><span /></span><span>24×1y2x−1</span></span>
8<span> </span>Use Negative Power Rule: <span /><span><span><span><span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>−</span><span>a</span></span></span><span /></span></span></span><span>=</span><span><span><span><span>1</span><span /></span><span><span><span><span><span><span><span>x<span /></span></span></span><span /></span><span><span><span><span>a</span></span></span><span /></span></span></span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>x−a=1xa</span></span>
<span /><span><span><span><span><span><span>24</span><span>×</span><span><span><span><span>1</span><span /></span><span><span><span><span><span><span><span>y</span></span></span><span /></span><span><span><span><span>2</span></span></span><span /></span></span></span><span /></span><span><span /><span /></span></span></span><span>×</span><span><span><span><span>1</span><span /></span><span><span>x<span /></span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>24×1y2×1x</span></span>
9<span> </span>Simplify
<span /><span><span><span><span><span><span><span><span><span>24</span><span /></span><span><span><span><span><span><span><span><span>y</span></span></span><span /></span><span><span><span><span>2</span></span></span><span /></span></span></span><span>x<span /></span></span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>24y2x
</span></span>
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