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Popular >

simplify [(4^2)^2]^2

Solution

simplify

[(4^{2})^{2}]^{2}

Solution

65536

Solution steps

[(4^{2})^{2}]^{2}

(4^{2})^{2} : 4^{4}

= [4^{4}]^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 4^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 4^{8}

4^{8} = 65536

= 65536

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Frequently Asked Questions (FAQ)

What is [(4^2)^2]^2 ?
The solution to [(4^2)^2]^2 is 65536