Question

Find x: (2/7)-8 (7/2)-2CORRECT ANSWER: (2/7)2x

Answer 1

Step-by-step explanation:

GIVEN: equation

(2/7)^-8 x (7/2)^-2 = (2/7)^2x

As per the law of exponent (a)^-b = (1/a)^b

So, LHS = (2/7)^-8 x (2/7)^2 ( making the base same = the base of RHS)

=(2/7)^-6 …………..LHS ( by adding the exponent in multiplcation , with the same base)

&(2/7)^2x ……………RHS

So equation becomes

(2/7)^-6 = (2/7)^2x