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Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

1.58740 \dots

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

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

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

(- 1) \cdot 2 = - 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)^{2/3}*2^{2/3} ?
The solution to (-1)^{2/3}*2^{2/3} is 2^{2/3}