Question

What exponent would make the two expressions equivalent (3³)^=3²⁴?
A. 21
B. 8
C. 15
D. 27

Answer 1

To make the two expressions equivalent, we need to find an exponent that will result in the same value for both expressions.

The value of the expression (3³) is equal to 3 raised to the power of 3, which is equal to 3 * 3 * 3 = 27.

The value of the expression 3²⁴ is equal to 3 raised to the power of 24, which is equal to 3 * 3 * 3 * ... * 3 (24 times).

So we need to find an exponent that will result in 27 when raised to that power. Looking at the answer choices, we see that D. 27 is the only option that matches this requirement.

Therefore, the exponent that would make the two expressions equivalent is:
D. 27