Question

How to write rational numbers in exponential form​

Answer 1

Answer:

When a fraction is raised to an exponent, both the numerator and denominator are raised to that exponent. Therefore, the equation can be rewritten as 6427=4x3x. From here we can proceed one of two ways. We can either solve x for 64=4x or 27=3x. Let's solve the first equation. We simply multiply 4 by itself until we reach a value of 64. 41=4, 42=4⋅4=16,43=4⋅4⋅4=64, and so on. Since 43=64, we know that x = 3.

Step-by-step explanation:

hope it helps you

Answer 2

Answer:

When a fraction is raised to an exponent, both the numerator and denominator are raised to that exponent. Therefore, the equation can be rewritten as 6427=4x3x. From here we can proceed one of two ways. We can either solve x for 64=4x or 27=3x. Let's solve the first equation. We simply multiply 4 by itself until we reach a value of 64. 41=4, 42=4⋅4=16,43=4⋅4⋅4=64, and so on. Since 43=64, we know that x = 3.

We can repeat this process for the second equation to get 33=3⋅3⋅3=27, confirming our previous answer. However, since the ACT is a timed test, it is best to only solve one of the equations and move on. Then, if you have time left once all of the questions have been answered, you can come back and double check your answer by solving the other equation.