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Popular >

simplify 27^{(-2)/3}

Solution

simplify

2 7^{\frac{- 2}{3}}

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

2 7^{\frac{- 2}{3}}

Factor the number:

27 = 3^{3}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

3 \cdot \frac{- 2}{3} = - 2

= 3^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

3^{2} = 9

= \frac{1}{9}

Popular Examples

factor 100x^2-81y^2 factor

100 x^{2} - 81 y^{2}

1 2^{2} + 1 6^{2} = c^{2}

simplify 6^{-1/2}simplify

6^{- \frac{1}{2}}

factor x^2y-9y+54-6x^2 factor

x^{2} y - 9 y + 54 - 6 x^{2}

11 = (7 + 2 x)^{2}

Frequently Asked Questions (FAQ)

What is 27^{(-2)/3} ?
The solution to 27^{(-2)/3} is 1/9