Simplify.
-$\left(\frac{x^{8}}{2}\right)^{2}$
A) $\frac{a^{16}}{2}$
B) $\frac{x^{6}}{4}$
C) $\frac{x^{10}}{4}$
D) $\frac{x^{16}}{4}$

Name: Simplify. -$\left(\frac{x^{8}}{2}\right)^{2}$ A) $\frac{a^{16}}{2}$ B) $\frac{x^{6}}{4}$ C) $\frac{x^{10}}{4}$ D) $\frac{x^{16}}{4}$
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Question

Quizplus · Accepted Answer

When you raise a power to a power, you multiply the exponents. So, $x^8$ raised to the 2nd power becomes $x^{8*2} = x^{16}$. Also, $\frac{1}{2}$ squared is $\frac{1}{4}$. Therefore, the simplified expression is $\frac{x^{16}}{4}$.

Simplify - (x82)2\left(\frac{x^{8}}{2}\right)^{2}(2x8​)2 A) a162\frac{a^{16}}{2}2a16​ B) x64\frac{x^{6}}{4}4x6​ C) x104\frac{x^{10}}{4}4x10​ D) x164\frac{x^{16}}{4}4x16​

Simplify
- $\left(\frac{x^{8}}{2}\right)^{2}$ A) $\frac{a^{16}}{2}$ B) $\frac{x^{6}}{4}$ C) $\frac{x^{10}}{4}$ D) $\frac{x^{16}}{4}$