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Power of a Power

Question 82In...

Question

Question 82

In the following question, state whether the given statements are true (T) or false (F).

$\frac{x^{m}}{y^{m}} = {(\frac{y}{x})}^{- m}$

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Solution

True:

$R H S = {(\frac{y}{x})}^{- m} = \frac{y^{- m}}{x^{- m}} = \frac{x^{m}}{y^{m}} [a^{- m} = \frac{1}{a^{m}}]$

LHS = RHS

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Power of a Power

Standard VII Mathematics

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