WHAT EXPONENT WOULD MAKE THE TWO EXPRESSIONS EQUIVALENT: (16^x)^6 = (16^18)?

1 answer

To find the exponent that would make the two expressions equivalent, we must equate the exponents on both sides of the equation.

(16^x)^6 = (16^18)

Since the base on both sides is 16, we can equate the exponents:

6x = 18

To solve for x, we divide both sides of the equation by 6:

x = 3

Therefore, the exponent that would make the two expressions equivalent is x = 3.