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Likurg_2 [28]
3 years ago
14

Multiply and simplify: -3x^2y^2 times x^4

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0
It's the first answer choice.
Steps:
-3x^2y^2x^4
(Apply the exponent rule)
x^4x^2 = x^2+4 = x^6

= -3x^6y^2

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What is the measure of a single interior angle in a 16-gon?
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Simplify 4(2x^3y^4)^4/2(2x^2y^6)^3. Show your work. Please help ASAP!!
vovikov84 [41]

Answer:

The simplified expression to the given expression is \frac{4x^6}{y^2}

Therefore \frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}=\frac{4x^6}{y^2}

Step-by-step explanation:

Given fractional expression is \frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}

To simplify the given expression as below :

\frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}

=\frac{2(2x^3y^4)^4}{(2x^2y^6)^3}

=\frac{2[(2)^4(x^3)^4(y^4)^4]}{(2)^3(x^2)^3(y^6)^3}  ( using the property (a^m)^n=a^{mn})

=\frac{2[(2)^4(x^{12})(y^{16})]}{(2)^3(x^6)(y^{18})}

=2[(2)^4(x^{12})(y^{16})](2)^{-3}(x^{-6})(y^{-18})  (  ( using the property a^m=\frac{1}{a^{-m}} )

=2[2^{4-3}x^{12-6}y^{16-18}]( using the property a^m.a^n=a^{m+n} )

=2[2^1x^6y^{-2}]

=\frac{4x^6}{y^2} ( using the property a^m=\frac{1}{a^{-m}} )

Therefore the simplified expression is \frac{4x^6}{y^2}

Therefore \frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}=\frac{4x^6}{y^2}

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Answer:

x^9y^3

Step-by-step explanation:

Step 1: Write expression

(\frac{x^{\frac{3}{4} }}{y^{\frac{-1}{4} }} )^{12}

Step 2: Simplify Parenthesis

(x^{\frac{3}{4} }}{y^{\frac{1}{4} }} )^{12}

Step 3: Exponent Exponents

(x^{\frac{36}{4} }}{y^{\frac{12}{4} }} )

Step 4: Simplify

(x^9 }}{y^3 )

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