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Popular >

simplify (-729)^{4/3}

Solution

simplify

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

Solution

6561

Solution steps

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

Apply exponent rule:

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

(- 729)^{\frac{4}{3}} = (- 1)^{\frac{4}{3}} \cdot 72 9^{\frac{4}{3}}

= (- 1)^{\frac{4}{3}} \cdot 72 9^{\frac{4}{3}}

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

= 1 \cdot 72 9^{\frac{4}{3}}

72 9^{\frac{4}{3}} = 6561

= 1 \cdot 6561

Multiply the numbers:

1 \cdot 6561 = 6561

= 6561

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z - 6.8 z - 5.8 = - 2.9 (z - 6)

4 x^{2} + 400 = 0

Frequently Asked Questions (FAQ)

What is (-729)^{4/3} ?
The solution to (-729)^{4/3} is 6561