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Popular >

simplify 27^{(-4)/3}

Solution

simplify

2 7^{\frac{- 4}{3}}

Solution

\frac{1}{81}

+1

Decimal Notation

0.01234 \dots

Solution steps

2 7^{\frac{- 4}{3}}

Factor the number:

27 = 3^{3}

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

Apply exponent rule:

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

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

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

= 3^{- 4}

Apply exponent rule:

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

3^{- 4} = \frac{1}{3 ^{4}}

= \frac{1}{3 ^{4}}

3^{4} = 81

= \frac{1}{81}

Popular Examples

factor 48tu-90t+32u-60 factor

48 t u - 90 t + 32 u - 60

factor 6x^3-4x^2-2x factor

6 x^{3} - 4 x^{2} - 2 x

factor 5x^2-320 factor

5 x^{2} - 320

x^{2} + 6 x + 9 \leq 0

2 (3 x - 1)^{2} - 5 = 3

Frequently Asked Questions (FAQ)

What is 27^{(-4)/3} ?
The solution to 27^{(-4)/3} is 1/81