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Popular >

simplify (-1000)^{4/3}

Solution

simplify

(- 1000)^{\frac{4}{3}}

Solution

10000

Solution steps

(- 1000)^{\frac{4}{3}}

Apply exponent rule:

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

(- 1000)^{\frac{4}{3}} = (- 1)^{\frac{4}{3}} \cdot 100 0^{\frac{4}{3}}

= (- 1)^{\frac{4}{3}} \cdot 100 0^{\frac{4}{3}}

(- 1)^{\frac{4}{3}} = 1

= 1 \cdot 100 0^{\frac{4}{3}}

100 0^{\frac{4}{3}} = 10000

= 1 \cdot 10000

Multiply the numbers:

1 \cdot 10000 = 10000

= 10000

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Frequently Asked Questions (FAQ)

What is (-1000)^{4/3} ?
The solution to (-1000)^{4/3} is 10000