Question

Which is equivalent to 243 superscript two-fifths?
a. 3
b. 6
c. 9
d. 12

Answer 1

To find the value of 243^2/5, we need to take the fifth root of 243 and then raise it to the power of 2. The result is 9.

Step-by-step explanation:

Exponents, also known as powers or indices, are a mathematical notation that indicates the repeated multiplication of a number by itself. The exponent is a small number written above and to the right of a base number, and it represents the number of times the base is multiplied by itself.

To find the value of 2432/5, we need to take the fifth root of 243 and then raise the result to the power of 2. Let's break it down step by step:

1. Take the fifth root of 243: 2431/5 = 3
2. Raise 3 to the power of 2: 32 = 9

Therefore, 2432/5 is equivalent to 9. So, the answer is c. 9.