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Popular >

simplify 81^{2/3}

Solution

simplify

8 1^{\frac{2}{3}}

Solution

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

+1

Decimal Notation

18.72075 \dots

Solution steps

8 1^{\frac{2}{3}}

Prime factorization of

81 : 3^{4}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Apply exponent rule:

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

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

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

(3^{3})^{\frac{2}{3}} = 9

= 9 \cdot 3^{\frac{2}{3}}

Popular Examples

simplify (5/7)^{-0.65}simplify

(\frac{5}{7})^{- 0.65}

5x-5*(2x+1)=-3*(4x+5)

5 x - 5 \cdot (2 x + 1) = - 3 \cdot (4 x + 5)

- 5 x^{2} + 20 = 0

simplify (9!)/(7!2!)simplify

\frac{9 !}{7 ! 2 !}

5 x^{2} - 10 = 2 x - 7

Frequently Asked Questions (FAQ)

What is 81^{2/3} ?
The solution to 81^{2/3} is 9*3^{2/3}