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Popular >

simplify (((1/2)^2)^2)^2

Solution

simplify

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

Solution

\frac{1}{256}

+1

Decimal Notation

0.00390625

Solution steps

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

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

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

Apply exponent rule:

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

= (\frac{1}{2})^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

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

Apply exponent rule:

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

= \frac{1 ^{8}}{2 ^{8}}

Apply rule

1^{a} = 1

1^{8} = 1

= \frac{1}{2 ^{8}}

2^{8} = 256

= \frac{1}{256}

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Frequently Asked Questions (FAQ)

What is (((1/2)^2)^2)^2 ?
The solution to (((1/2)^2)^2)^2 is 1/256