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Popular >

simplify ((6c)/7)^{-2}

Solution

simplify

(\frac{6 c}{7})^{- 2}

Solution

\frac{49}{36 c ^{2}}

Solution steps

(\frac{6 c}{7})^{- 2}

Apply exponent rule:

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

(\frac{6 c}{7})^{- 2} = \frac{1}{( \frac{6 c}{7} ) ^{2}}

= \frac{1}{( \frac{6 c}{7} ) ^{2}}

Simplify

(\frac{6 c}{7})^{2} : \frac{36 c ^{2}}{49}

= \frac{1}{\frac{36 c ^{2}}{49}}

Apply the fraction rule:

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

= \frac{49}{36 c ^{2}}

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Frequently Asked Questions (FAQ)

What is ((6c)/7)^{-2} ?
The solution to ((6c)/7)^{-2} is (49)/(36c^2)