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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:

(- a)^{n} = - a^{n},

if

n

is odd

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

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

1^{3} = 1

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

3^{3} = 27

= 5 (- \frac{1}{27})

Apply rule:

a (- b) = - ab

5 (- \frac{1}{27}) = - 5 \cdot \frac{1}{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