By what number should $(- 15)^{- 1}$ multiplied so that the product may equal to $(- 5)^{- 1} ?$

Open in App

Solution

$L e t (- 15)^{- 1} b e d i v i d e d b y x ∴ (- 15)^{- 1} \div x = (- 5)^{- 1} \Rightarrow (\frac{1}{- 15}) \div x = {(\frac{1}{- 5})}^{1} \Rightarrow \frac{1}{- 15} \times \frac{1}{x} = \frac{1}{- 5} \Rightarrow \frac{1}{- 15 x} = \frac{1}{- 5} \Rightarrow x = \frac{- 5}{- 15} = \frac{1}{3} ∴ R e q u i r e d n u m b e r = \frac{1}{3}$

Suggest Corrections

Similar questions

{(15)}^{- 1}

{(- 5)}^{- 1}

By what number should ${(\frac{1}{2})}^{- 1}$ multiplied so that the product may equal to ${(\frac{- 4}{7})}^{- 1} ?$

{(\frac{1}{2})}^{- 1}

{(- \frac{4}{7})}^{- 1} ?

{(\frac{- 1}{5})}^{- 1}

{(\frac{- 1}{5})}^{- 3}

Join BYJU'S Learning Program