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Popular >

simplify (1-3)^{2/3}

Solution

simplify

(1 - 3)^{\frac{2}{3}}

Solution

2^{\frac{2}{3}}

+1

Decimal Notation

1.58740 \dots

Solution steps

(1 - 3)^{\frac{2}{3}}

Subtract the numbers:

1 - 3 = - 2

= (- 2)^{\frac{2}{3}}

Apply exponent rule:

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

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

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

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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