How do you simplify $(-3a^2)(2a^3)^2$ ?

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Answer 1 · 2015-09-23T03:35:05

The answer is $-12a^8$ .

$(-3a^2) (2a^3)^2$

Apply exponent rule $(a^m)^n=(a^(m*n))$ .

Simplify $(2a^3)^2$ to $(4a^6)$ .

Because in $(-3a^2) (2a^3)^2$ the square is being applied to both terms i.e $(2)^2$ and $(a^3)^2$

Now,

$(-3a^2) (4a^6)$

Apply exponent rule $(a^m*a^n)=a^(m+n)$ .

Simplify.

$-3xx4xxa^(2+6)=$

$-12a^8$

How do you simplify (-3a^2)(2a^3)^2(-3a^2)(2a^3)^2?