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Popular >

simplify (-27/8)^{1/3}

Solution

simplify

(- \frac{27}{8})^{\frac{1}{3}}

Solution

- \frac{3}{2}

+1

Decimal Notation

- 1.5

Solution steps

(- \frac{27}{8})^{\frac{1}{3}}

Apply exponent rule:

(- a)^{\frac{1}{n}} = - (a)^{\frac{1}{n}},

if

n

is odd

(- \frac{27}{8})^{\frac{1}{3}} = - (\frac{27}{8})^{\frac{1}{3}}

= - (\frac{27}{8})^{\frac{1}{3}}

Apply exponent rule:

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

(\frac{27}{8})^{\frac{1}{3}} = \frac{2 7 ^{\frac{1}{3}}}{8 ^{\frac{1}{3}}}

= - \frac{2 7 ^{\frac{1}{3}}}{8 ^{\frac{1}{3}}}

2 7^{\frac{1}{3}} = 3

= - \frac{3}{8 ^{\frac{1}{3}}}

8^{\frac{1}{3}} = 2

= - \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is (-27/8)^{1/3} ?
The solution to (-27/8)^{1/3} is -3/2