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Popular >

simplify 24^{2/3}

Solution

simplify

2 4^{\frac{2}{3}}

Solution

4 \cdot 3^{\frac{2}{3}}

+1

Decimal Notation

8.32033 \dots

Solution steps

2 4^{\frac{2}{3}}

Prime factorization of

24 : 2^{3} \cdot 3

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

(2^{3})^{\frac{2}{3}} = 4

= 4 \cdot 3^{\frac{2}{3}}

Popular Examples

simplify 3/4 ab-5/12 ab simplify

\frac{3}{4} ab - \frac{5}{12} ab

simplify (-125)(-1)/3 simplify

(- 125) \frac{- 1}{3}

factor 3x^2+2x-21 factor

3 x^{2} + 2 x - 21

10 > x + 5

Frequently Asked Questions (FAQ)

What is 24^{2/3} ?
The solution to 24^{2/3} is 4*3^{2/3}