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Popular >

simplify [(2^2)^3]^2

Solution

simplify

[(2^{2})^{3}]^{2}

Solution

4096

Solution steps

[(2^{2})^{3}]^{2}

(2^{2})^{3} : 2^{6}

= [2^{6}]^{2}

Apply exponent rule:

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

= 2^{6 \cdot 2}

Multiply the numbers:

6 \cdot 2 = 12

= 2^{12}

2^{12} = 4096

= 4096

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Frequently Asked Questions (FAQ)

What is [(2^2)^3]^2 ?
The solution to [(2^2)^3]^2 is 4096