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Video: Computing Numerical Expressions Involving Square Roots and Negative Exponents

Bethani Gasparine

What is (√10/√6)⁻²?

00:42

Video Transcript

What is square root 10 divided by square root six all to the negative second power?

We could begin this a couple ways. Let’s go ahead and take each square root to the negative second power. Now the issue is we can’t evaluate to a negative power; however, if you have a negative power and it’s on the numerator, move it to the denominator and it’ll be a part of power.

Or if it’s already on the denominator, move it up to the numerator. So here we have fixed the negative power issue. Now if we square any square root, they will disappear. So we have six-tenths, and that reduces to three-fifths.