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Popular >

simplify sqrt((1/16))^3

Solution

simplify

(\frac{1}{16})^{3}

Solution

\frac{1}{64}

+1

Decimal Notation

0.015625

Solution steps

(\frac{1}{16})^{3}

Apply rule:

(a) = a

(\frac{1}{16}) = \frac{1}{16}

= (\frac{1}{16})^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(\frac{1}{16})^{2 + 1} = (\frac{1}{16})^{2} \frac{1}{16}

= (\frac{1}{16})^{2} \frac{1}{16}

Apply exponent rule:

(\frac{1}{16})^{2} = \frac{1}{16}

= \frac{1}{16} \frac{1}{16}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{1}{16} = \frac{1}{16}

= \frac{1}{16} \cdot \frac{1}{16}

Apply radical rule:

1 = 1

1 = 1

= \frac{1}{16} \cdot \frac{1}{16}

16 = 4

= \frac{1}{16} \cdot \frac{1}{4}

\frac{1}{16} \cdot \frac{1}{4} = \frac{1}{64}

= \frac{1}{64}

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Frequently Asked Questions (FAQ)

What is sqrt((1/16))^3 ?
The solution to sqrt((1/16))^3 is 1/64