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Popular >

Evaluate 512^(-1/3)

Solution

simplify

51 2^{\frac{- 1}{3}}

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

51 2^{\frac{- 1}{3}}

Factor the number:

512 = 8^{3}

= (8^{3})^{\frac{- 1}{3}}

Apply exponent rule:

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

= 8^{3 \cdot \frac{- 1}{3}}

3 \cdot \frac{- 1}{3} = - 1

= 8^{- 1}

Apply exponent rule:

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

8^{- 1} = \frac{1}{8}

= \frac{1}{8}

Popular Examples

Simplify -4i simplify

- 4 i

Evaluate (9!)/(6!)simplify

\frac{( 9 ! )}{( 6 ! )}

Solve for x |5x|=15 solve for

x, ∣ 5 x ∣ = 15

Solve by Factoring x^2+3x-54=0 factor

x^{2} + 3 x - 54 = 0

Convert to a Simplified Fraction 93%simplify

93%

Frequently Asked Questions (FAQ)

What is simplify 512^{(-1)/3} ?
The solution to simplify 512^{(-1)/3} is 1/8