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Popular >

simplify (y/3)^{-3}

Solution

simplify

(\frac{y}{3})^{- 3}

Solution

\frac{27}{y ^{3}}

Solution steps

(\frac{y}{3})^{- 3}

Apply exponent rule:

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

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

= \frac{1}{( \frac{y}{3} ) ^{3}}

Simplify

(\frac{y}{3})^{3} : \frac{y ^{3}}{27}

= \frac{1}{\frac{y ^{3}}{27}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{27}{y ^{3}}

Popular Examples

factor x^3+2x^2-48x factor

x^{3} + 2 x^{2} - 48 x

4 x + 7 = 39

factor 6m^4+31m^2+40 factor

6 m^{4} + 31 m^{2} + 40

simplify pi/6-pi/2 simplify

\frac{π}{6} - \frac{π}{2}

(2x-8)/3 =(x+7)/7

\frac{2 x - 8}{3} = \frac{x + 7}{7}

Frequently Asked Questions (FAQ)

What is (y/3)^{-3} ?
The solution to (y/3)^{-3} is (27)/(y^3)