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Popular >

simplify [(5^2)^2]^2

Solution

simplify

[(5^{2})^{2}]^{2}

Solution

390625

Solution steps

[(5^{2})^{2}]^{2}

(5^{2})^{2} : 5^{4}

= [5^{4}]^{2}

Apply exponent rule:

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

= 5^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 5^{8}

5^{8} = 390625

= 390625

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Frequently Asked Questions (FAQ)

What is [(5^2)^2]^2 ?
The solution to [(5^2)^2]^2 is 390625