Question

find the value of 'n' if (-8^2)^4 = (-8)^2n

Answer 1

Answer:

n = 4

Step-by-step explanation:

Given: n is the variable. Equation is (-8²)⁴ = (-8)^2n

Now we know that LHS is (-8²)⁴

(-8²)⁴ = (-8)⁸  [this is because (a^m)^n = a^mn

RHS is (-8)^2n

the exponents of RHS and LHS can be equated now.

8 = 2n

4 = n

Thus n is 4.