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Popular >

simplify 8^{(-4)/3}

Solution

simplify

8^{\frac{- 4}{3}}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

8^{\frac{- 4}{3}}

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

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

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

3 \cdot \frac{- 4}{3} = - 4

= 2^{- 4}

Apply exponent rule:

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

2^{- 4} = \frac{1}{2 ^{4}}

= \frac{1}{2 ^{4}}

2^{4} = 16

= \frac{1}{16}

Popular Examples

30 \leq 3 x + 6

factor 9x^3+42x^2+27x+12 factor

9 x^{3} + 42 x^{2} + 27 x + 12

factor 16b^8-25c^2 factor

16 b^{8} - 25 c^{2}

14 (x + 2) - 10 x = 8

simplify ((x^2)/y)^3 simplify

(\frac{x ^{2}}{y})^{3}

Frequently Asked Questions (FAQ)

What is 8^{(-4)/3} ?
The solution to 8^{(-4)/3} is 1/16