Exponent Puzzle Algebra 1

Question

Find the value of a that makes the equation true.

(2x^2 y^3)^a = 8x^6 y^9

Answer 1

Given; ( 2*x^2*y^3 )^a = 8*x^6*y^9

Solve for a

Solution:

( 2*x^2*y^3 )^a = 8*x^6*y^9

( 2*x^2*y^3 )^a = 2^3*x^6*y^9

( 2*x^2*y^3 )^a = ( 2*x^2*y^3 )^3

Therefore: a = 3