Question

Which expression is equivalent to (2x2)(3x3)(4x)2? 24x^7 48x^7 96x^7 576x^12

Answer 1

Answer:

$96x^7$

Step-by-step 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

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

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

Answer 2

Answer:

$96x^7$

Step-by-step 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