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Popular >

simplify 5(1/3)^3

Solution

simplify

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

Solution

\frac{5}{27}

+1

Decimal Notation

0.18518 \dots

Solution steps

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

Apply exponent rule:

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

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

= 5 \cdot \frac{1 ^{3}}{3 ^{3}}

1^{3} = 1

= 5 \cdot \frac{1}{3 ^{3}}

3^{3} = 27

= 5 \cdot \frac{1}{27}

5 \cdot \frac{1}{27} = \frac{5}{27}

= \frac{5}{27}

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Frequently Asked Questions (FAQ)

What is 5(1/3)^3 ?
The solution to 5(1/3)^3 is 5/27