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Popular >

simplify (-32)^{7/5}

Solution

simplify

(- 32)^{\frac{7}{5}}

Solution

- 128

Solution steps

(- 32)^{\frac{7}{5}}

Apply exponent rule:

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

(- 32)^{\frac{7}{5}} = (- 1)^{\frac{7}{5}} \cdot 3 2^{\frac{7}{5}}

= (- 1)^{\frac{7}{5}} \cdot 3 2^{\frac{7}{5}}

(- 1)^{\frac{7}{5}} = - 1

= - 1 \cdot 3 2^{\frac{7}{5}}

3 2^{\frac{7}{5}} = 128

= - 1 \cdot 128

Multiply the numbers:

1 \cdot 128 = 128

= - 128

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Frequently Asked Questions (FAQ)

What is (-32)^{7/5} ?
The solution to (-32)^{7/5} is -128