Find the value of "a" which makes the statement true:

Question

(x^4a-2))³=x¹⁸

Answer 1

Use the exponent "power of a power rule" to rewrite the left side as: x^(12a-6)_{. The exponents were multiplied.}

_{So we have x}^(12a-6) = x¹⁸

If powers with the same base are equal the exponents must be equal.

12a-6 = 18

12a = 24

a = 2.

Substitute 2 for a in the original equation to check.