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

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

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Answer 1 · 2015-09-23T03:35:05

The answer is $- 12 a^{8}$ $-12a^8$ .

Explanation:

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

Apply exponent rule ${(a^{m})}^{n} = (a^{m \cdot n})$ $(a^m)^n=(a^(m*n))$ .

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

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

Now,

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

Apply exponent rule $(a^{m} \cdot a^{n}) = a^{m + n}$ $(a^m*a^n)=a^(m+n)$ .

Simplify.

$- 3 \times 4 \times a^{2 + 6} =$ $-3xx4xxa^(2+6)=$

$- 12 a^{8}$ $-12a^8$

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

1 Answer

Explanation:

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How do you simplify (-3a^2)(2a^3)^2(−3a2)(2a3)2(-3a^2)(2a^3)^2?

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