Question

13
enter the correct answer in the box
simplify the expression $(6^{4})^{2}$.
$\frac{a}{a}$ (1) $|0|$ $a^{4}$ $+$ $=$ $\pi$ $a$ $\beta$ $x$ $\theta$ $\sin$ $\cos$ $\tan$ $\sin ^{-1}$ $\cos ^{-1}$ $\tan ^{-1}$ $\overrightarrow{0}$ $\overleftrightarrow{0}$ $\overrightarrow{0}$ $\angle$ $\triangle$ $n$ $\sum$ $\sqrt{0}$ $\sqrt0{0}$ $a_{1}$ $\cdot$ $\times$ $<$ $>$ $\leq$ $\geq$ $a$ $\mu$ $\
ho$ $\varphi$ $\csc$ $\sec$ $\cot$ $\log$ $\log _{1}$ $\ln$ $\\|$ $\perp$ $\cong$ $\sim$ $\cdot$ $u$ $\left\

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Explanation:

Step1: Use the power - of - a - power rule

The power - of - a - power rule states that \((a^{m})^{n}=a^{m\times n}\). For the expression \((6^{4})^{2}\), where \(a = 6\), \(m = 4\), and \(n=2\).

$$ (6^{4})^{2}=6^{4\times2} $$

Step2: Calculate the exponent

Calculate \(4\times2 = 8\). So, \(6^{4\times2}=6^{8}\).

$$ 6^{8}=6\times6\times6\times6\times6\times6\times6\times6=1679616 $$

Answer:

\(1679616\)