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Popular >

simplify [(1/2)^2]^3

Solution

simplify

[(\frac{1}{2})^{2}]^{3}

Solution

\frac{1}{64}

+1

Decimal Notation

0.015625

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

Multiply the numbers:

2 \cdot 3 = 6

= (\frac{1}{2})^{6}

Apply exponent rule:

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

= \frac{1 ^{6}}{2 ^{6}}

1^{6} = 1

= \frac{1}{2 ^{6}}

2^{6} = 64

= \frac{1}{64}

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Frequently Asked Questions (FAQ)

What is [(1/2)^2]^3 ?
The solution to [(1/2)^2]^3 is 1/64