Question

Identify the equivalent expression for 3 square root of m ^5 + 2. Select the correct answer from the following and show your work.
a) (m + 2) 5/3
b) m 5/3 + 2
c) m 3/5 + 2
d) (m + 2) 3/5

Answer 1

Are there more steps to show your work?

Answer 2

To find the equivalent expression for 3√(m^5) + 2, we can rewrite the cube root as a fractional exponent. The expression becomes:

3√(m^5) = m^(5/3)

Therefore, the equivalent expression is m^(5/3) + 2, or in option form:

b) m 5/3 + 2

Answer 3

Apologies for the confusion. Let's break down the steps further to show our work.

Given expression: 3√(m^5) + 2

Step 1: Rewrite the cube root as a fractional exponent:
3√(m^5) = m^(5/3)

Step 2: Combine the rewritten cube root with the + 2:
m^(5/3) + 2

Therefore, the equivalent expression is m^(5/3) + 2, or in option form:

b) m 5/3 + 2