In Exercises 83–90, evaluate each expression without using a calc...

Question

In Exercises 83–90, evaluate each expression without using a calculator. 27^(1/3)

Accepted Answer

Welcome back, I'm so glad you're here. We are evaluating the expression 25 raised to the one half. And so how do we do that? How do we take a number? Race to a fraction exponents. We're going to rewrite it, we're going to look at this bottom number, the denominator and we're going to know that that is like way down on the bottom and the roots of a tree. And so that's going to go inside the root and then this top number, the one floating way up here in the new in the clouds. That is going to remain our exponents. Now we can rewrite it, bring the 25 down and we're going to take the square root of 25. That too is understood. But I'm going to write it in there and it's going to be raised to the one and I mean anything raised to the one is going to be itself, but I'm still going to write it right there. And the square root of 25 is five. Raise that to the one that's going to be five. And we look at our answer choices, that is answer choice B. You've done it well done, catch in the next one