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$(4a^3)^2$

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Roots of integers

Full solution

Q.

(4a^3)^2

Apply power rule: First, apply the power of a power rule which states that $(x^m)^n = x^{m*n}$ . So, $(4a^3)^2$ becomes $4^2 * (a^3)^2$ .
Calculate $4^2$ : Now, calculate $4^2$ which is $4 \times 4 = 16$ .
Calculate $(a^3)^2$ : Next, calculate $(a^3)^2$ . According to the power of a power rule, this is $a^{(3*2)}$ which is $a^6$ .
Multiply results: Finally, multiply the results from the previous steps together. So, $16 \times a^6$ is the simplified form.

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