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lyudmila [28]
3 years ago
8

What is the product? (3a^2b^4)(-8ab^3)

Mathematics
2 answers:
topjm [15]3 years ago
7 0

Answer:

-24a^3 b^7

Step-by-step explanation:

(3a^2b^4)(-8ab^3)

Step 1: Multiply the coefficients

= -24a^2. b^4. a. b^3

Step 2: Using the exponent rule : a^m.a^n = a^(m +n)

If we have to the same base, we can add the powers.

Applying the rule, we get

= -24.a^(2 +1).b^(4 +3)

= -24a^3 b^7.

Answer is -24a^3 b^7.

Hope this will helpful.

Thank you.

sdas [7]3 years ago
5 0
-24a^3b^7 you multiply the two numbers and add the exponents.
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Meldie made a cube whose side is (3x - 2) inches. Find its volume in cubic inches.
irinina [24]

Answer:

x^2(3x-2) cubic inches OR in^3

OR

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS

<em>-</em>

<em>NOTE</em><em>:</em><em> </em><em>'</em><em>^</em><em>'</em><em> </em><em>MEANS</em><em> </em><em>TO</em><em> </em><em>THE</em><em> </em><em>POWER</em><em> </em><em>OF</em><em>.</em><em>.</em>

<em>-</em>

Volume = v, abc = 3 sides of cube (height, width, length)

Using the formula for volume in a cube,

v = abc

We can solve this.

If one side is (3x-2)in,

  • (3x-2)(x)(x) = v.... x are the other two sides
  • x^2(3x-2) = v

x^2(3x-2) cubic inches OR in^3

If all sides are (3x-2)in,

Use the formula,

(a - b) ^{3}  =  {a}^{3}  + 3ab(b - a) -  {b}^{3}

We can solve this.

  • (3x-2)(3x-2)(3x-2) = v
  • (3x-2)^3 = v.... 3x = a and -2 = b
  • (3x)^3 + [(3)(3x)(2)][2-3x] - (2)^3 = v
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  • 3x [ 3 [ 3x (x-2) + 4 ]] - 8 = v
  • 3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 = v

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

___

If you have any questions regarding formulas or anything, comment and I will get back to you asap.

___

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