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Popular >

simplify (-4/5)^5

Solution

simplify

(- \frac{4}{5})^{5}

Solution

- \frac{1024}{3125}

+1

Solution steps

(- \frac{4}{5})^{5}

Apply exponent rule:

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

if

n

is odd

(- \frac{4}{5})^{5} = - (\frac{4}{5})^{5}

= - (\frac{4}{5})^{5}

Apply exponent rule:

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

(\frac{4}{5})^{5} = \frac{4 ^{5}}{5 ^{5}}

= - \frac{4 ^{5}}{5 ^{5}}

4^{5} = 1024

= - \frac{1024}{5 ^{5}}

5^{5} = 3125

= - \frac{1024}{3125}

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Frequently Asked Questions (FAQ)

What is (-4/5)^5 ?
The solution to (-4/5)^5 is -1024/3125