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Popular >

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

Solution

simplify

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

Solution

262144

Solution steps

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

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

= [2^{6}]^{3}

Apply exponent rule:

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

= 2^{6 \cdot 3}

Multiply the numbers:

6 \cdot 3 = 18

= 2^{18}

2^{18} = 262144

= 262144

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Frequently Asked Questions (FAQ)

What is [(2^3)^2]^3 ?
The solution to [(2^3)^2]^3 is 262144