Question

Which of the following properties can be used to show that the expression is equivalent to?

Answer 1

The properties that can be used to show that the expression 5^(3/2) = is equivalent to √5³ is; Option 4

How to use Algebraic Properties?

We want to show that the expression 5^(3/2) = √5³

Now, to break it down, we can express the fraction 3/2 as 3(1/2) and so we now have;

5³^(1/2)

Now, any number raised to the power of 1/2 is simply referring to square root and so we now have;

5³^(1/2) = √5³

Thus, option 4 is correct.

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