Question

[ (1/4)^-2 + (1/3)^-2 ] = 1/5^-2​

Answer 1

Given:

$(\frac{1}{4} )^{-2} +(\frac{1}{3} )^{-2}=(\frac{1}{5} )^{-2}$

To find:

prove the equation

i.e. LHS=RHS

Solution:

simplify

$(\frac{1}{4} )^{-2} +(\frac{1}{3} )^{-2}=(\frac{1}{5} )^{-2}$

use exponent law and we get,

4²+3²=5²

16+9=25

25=25

LHS=RHS

Hence proved.