Question

by what number should one by two whole to the power minus 1 be multiplied so that the product is minus 5 by 4 whole to the power minus 1

Answer 1

Here is your answer......

Answer 2

$Let \: \pink {x} \: should \:be \:multiplied \\with \: \Big(\frac{1}{2}\Big)^{-1} \:so\: that \: the \\ product\:is \: \Big(\frac{-5}{4}\Big)^{-1}$

$\implies x \times \Big(\frac{1}{2}\Big)^{-1} = \Big(\frac{-5}{4}\Big)^{-1}$

$\underline {\blue { By \: Exponential \:Law : }}$

$\boxed { \orange { \big(\frac{a}{b}\big)^{-1} = \big(\frac{b}{a} \big)^{1} }}$

$\implies x \times \Big(\frac{2}{1}\Big)^{1} = \Big(\frac{-4}{5}\Big)^{1}$

$\implies x = \frac{-4}{5} \times \frac{1}{2}$

$\implies x = \frac{-2}{5}$

Therefore.,

$\red { Required \: number } \green {= \frac{-2}{5}}$

•••♪