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Popular >

simplify [((-2)^2)^2]^2

Solution

simplify

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

Solution

256

Solution steps

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

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

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

(- 2)^{4} = 2^{4}

= (2^{4})^{2}

Apply exponent rule:

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

= 2^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 2^{8}

2^{8} = 256

= 256

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Frequently Asked Questions (FAQ)

What is [((-2)^2)^2]^2 ?
The solution to [((-2)^2)^2]^2 is 256