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Popular >

Simplify (4/9)^(-3/2)

Solution

simplify

(\frac{4}{9})^{\frac{- 3}{2}}

Solution

\frac{27}{8}

+1

Decimal Notation

3.375

Solution steps

(\frac{4}{9})^{\frac{- 3}{2}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{4 ^{\frac{- 3}{2}}}{9 ^{\frac{- 3}{2}}}

4^{\frac{- 3}{2}} = \frac{1}{8}

= \frac{\frac{1}{8}}{9 ^{\frac{- 3}{2}}}

9^{\frac{- 3}{2}} = \frac{1}{27}

= \frac{\frac{1}{8}}{\frac{1}{27}}

\frac{\frac{1}{8}}{\frac{1}{27}} = \frac{27}{8}

= \frac{27}{8}

Popular Examples

Divide (x-5)/(x+5)long division

\frac{( x - 5 )}{( x + 5 )}

Evaluate (1.3)^3 simplify

(1.3)^{3}

Solve for x 10^x=80 solve for

x, 1 0^{x} = 80

Solve Using the Quadratic Formula x^2-5x-36=0 quadratic formula

x^{2} - 5 x - 36 = 0

Evaluate (-27/64)^(-1/3)simplify

(\frac{- 27}{64})^{\frac{- 1}{3}}

Frequently Asked Questions (FAQ)

What is simplify (4/9)^{(-3)/2} ?
The solution to simplify (4/9)^{(-3)/2} is 27/8