63.5k views
5 votes
Which expression is equivalent to (2x2)(3x3)(4x)2?

24x^7
48x^7
96x^7
576x^12

2 Answers

5 votes

Answer:


96x^7

Explanation:

To obtain the polynomial form we apply the distributive property .

Powers property

to multiply powers of different bases.

The bases are multiplied and the exponents are added


(2x^2)(3x^3)(4x)^2= 6x^5(16x^2)\\ 6x^5(16x^2)=96x^7


(2x^2)(3x^3)(4x)^2=96x^7

User Cy
by
9.0k points
6 votes

Answer:


96x^7

Explanation:

Remember the following properties:

Multiplication of powers of equal base:


x^n*x^m=x^(n+m)

In this case we have the following expression:


(2x^2)(3x^3)(4x)^2


(2x^2)(3x^3)(16x^2)

When applying the mentioned property we obtain the following


(2*3*16x^(2+3+2))

Simplifying we get:


(96x^(7))

The answer is the third option

User Jatin Rana
by
7.9k points
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