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Popular >

simplify (x/z)^{-4}

Solution

simplify

(\frac{x}{z})^{- 4}

Solution

\frac{z ^{4}}{x ^{4}}

Solution steps

(\frac{x}{z})^{- 4}

Apply exponent rule:

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

(\frac{x}{z})^{- 4} = \frac{1}{( \frac{x}{z} ) ^{4}}

= \frac{1}{( \frac{x}{z} ) ^{4}}

Apply exponent rule:

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

(\frac{x}{z})^{4} = \frac{x ^{4}}{z ^{4}}

= \frac{1}{\frac{x ^{4}}{z ^{4}}}

Apply the fraction rule:

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

= \frac{z ^{4}}{x ^{4}}

Popular Examples

factor x^3+x^2-12x+12 factor

x^{3} + x^{2} - 12 x + 12

factor x^3+3x^2-2x-4 factor

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

simplify (e^{0.001}-1)/(0.001)simplify

\frac{e ^{0.001} - 1}{0.001}

simplify 3+5/4 simplify

3 + \frac{5}{4}

simplify (-3)/2*2 simplify

\frac{- 3}{2} \cdot 2

Frequently Asked Questions (FAQ)

What is (x/z)^{-4} ?
The solution to (x/z)^{-4} is (z^4)/(x^4)