Solve the following equation with a rational exponent: 2x32=16

.(1 point)
Responses

8

84

4

no solution

1 answer

To solve the equation 2x^32 = 16, we need to isolate the variable x.

First, we rewrite the equation as x^32 = 8.

Then, we can take the 32nd root of both sides to eliminate the exponent.

The 32nd root of 8 is 2, so x = 2 is the solution to the equation.

Therefore, the correct response is: 2