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Popular >

simplify (((1/2)^4)^2)^3

Solution

simplify

((\frac{1}{2})^{4})^{2}^{3}

Solution

\frac{1}{16777216}

+1

Solution steps

((\frac{1}{2})^{4})^{2}^{3}

((\frac{1}{2})^{4})^{2} : (\frac{1}{2})^{8}

= ((\frac{1}{2})^{8})^{3}

Apply exponent rule:

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

= (\frac{1}{2})^{8 \cdot 3}

Multiply the numbers:

8 \cdot 3 = 24

= (\frac{1}{2})^{24}

Apply exponent rule:

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

= \frac{1 ^{24}}{2 ^{24}}

Apply rule

1^{a} = 1

1^{24} = 1

= \frac{1}{2 ^{24}}

2^{24} = 16777216

= \frac{1}{16777216}

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Frequently Asked Questions (FAQ)

What is (((1/2)^4)^2)^3 ?
The solution to (((1/2)^4)^2)^3 is 1/16777216