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Popular >

simplify (-5/2)^3

Solution

simplify

(- \frac{5}{2})^{3}

Solution

- \frac{125}{8}

+1

Decimal Notation

- 15.625

Solution steps

(- \frac{5}{2})^{3}

Apply exponent rule:

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

if

n

is odd

(- \frac{5}{2})^{3} = - (\frac{5}{2})^{3}

= - (\frac{5}{2})^{3}

Apply exponent rule:

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

(\frac{5}{2})^{3} = \frac{5 ^{3}}{2 ^{3}}

= - \frac{5 ^{3}}{2 ^{3}}

5^{3} = 125

= - \frac{125}{2 ^{3}}

2^{3} = 8

= - \frac{125}{8}

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Frequently Asked Questions (FAQ)

What is (-5/2)^3 ?
The solution to (-5/2)^3 is -125/8