Question

by what number (-4)- 2 be multiplied so that the product may be equal to (10)-2​

Answer 1

Step-by-step explanation:

Let the number be x

According to condition

x*(-4)^-2=10^-2

x*1/(-4^2)=1/10^2

x = 1/10^2*(-4)^2

x= -16/100

x=-4/25

Answer 2

The answer is $x=\frac{4}{25}$

Step-by-step explanation:

the given values

$-4^{-2}*x=10^{-2}$

take $-4^{-2}$left side multiplication to right side divide

$x=\frac{10^{-2} }{-4^{-2} }$

take power -2  as a common

$=(\frac{10}{-4}) ^{-2}$

multiply into "-"

$=(\frac{-10}{4})^{-2}$

divide the values

$=(\frac{-5}{2})^{-2}$

resporcal the values negative power changed to ppostive power

$=(\frac{-2}{5} )^{2}$

square the value

$x=\frac{4}{25}$

The answer is  $x=\frac{4}{25}$.