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Popular >

simplify (-1/3)^5

Solution

simplify

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

Solution

- \frac{1}{243}

+1

Decimal Notation

- 0.00411 \dots

Solution steps

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

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

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

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

1^{5} = 1

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

3^{5} = 243

= - \frac{1}{243}

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Frequently Asked Questions (FAQ)

What is (-1/3)^5 ?
The solution to (-1/3)^5 is -1/243