Write each expression without negative exponents, and evaluate if...

Question

Write each expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers. See Example 4. -a^-3

Accepted Answer

Hey everyone welcome back in this problem by using the rules of exponents for us to simplify the following expression and eliminate the negative exponents. Okay. And we're giving a negative Q. To the exponent negative 64. All right, so we have negative Q. To the exponent negative 64. Now we want to simplify this and notice that the negative is out in front. Okay? It's not in brackets with the Q. Okay so this exponent does not apply to the negative. So we can write this if we want to as negative Q. To the negative 64. Okay. Just to make that clear that the negative is outside. Alright, so we have this negative exponent that we want to eliminate. Let's recall if we have a to the exponent negative end. You can write this as one over A. To the exponent N. Okay that's one of our rules of exponents. So we have a negative exponent. We can move it to the denominator and it's gonna become positive. So we can write Q. To the negative 64 as one over Q. To the positive 64. We have this negative out in front. So just multiplying that together we get negative one over Q two. The exponents 64. If we look at our answer choices, we see that that's going to correspond with a are simplified expression is negative one over Q two. The exponents 64. Thanks everyone for watching. I hope this video helped you in the next one

Write each expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers. See Example 4. -a^-3

Key Concepts

Negative Exponents

Simplifying Expressions

Evaluating Expressions

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