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Popular >

simplify (-128)^{5/7}

Solution

simplify

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

Solution

- 32

Solution steps

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

Apply exponent rule:

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

(- 128)^{\frac{5}{7}} = (- 1)^{\frac{5}{7}} \cdot 12 8^{\frac{5}{7}}

= (- 1)^{\frac{5}{7}} \cdot 12 8^{\frac{5}{7}}

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

= - 1 \cdot 12 8^{\frac{5}{7}}

12 8^{\frac{5}{7}} = 32

= - 1 \cdot 32

Multiply the numbers:

1 \cdot 32 = 32

= - 32

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r^{2} - 6 r + 34 = 0

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(3.2)^{2} + (- 0.6)^{2}

- 6 \leq x \leq - 3

Frequently Asked Questions (FAQ)

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