Question

What exponent would make the two expressions equivalent (3³)^x÷3²⁴?

A. 21
B. 8
C. 15
D. 27

Answer 1

[AI-generated answer — Bot GPT 3.5]

To make the two expressions equivalent, we need to equate the exponents of the base 3.

The exponent on the left side is 3^x and the exponent on the right side is 3^24.

So, we can set up the equation 3^x = 3^24.

To solve for x, we can equate the exponents:

x = 24.

Therefore, the exponent that would make the two expressions equivalent is x = 24.

The correct answer is not listed among the options given.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To make the two expressions equivalent, we need to set the exponents equal to each other.

First, we simplify the expression (3³)^x÷3²⁴:
(3³)^x÷3²⁴ = 3^(3x) ÷ 3²⁴

Now, we set the exponents equal to each other:
3x = 24

To find the value of x, we divide both sides of the equation by 3:
3x ÷ 3 = 24 ÷ 3
x = 8

Therefore, the exponent that would make the two expressions equivalent is x = 8.
So, the answer is B. 8.