In Exercises 35–52, write each expression with positive exponents...

Question

In Exercises 35–52, write each expression with positive exponents only. Then simplify, if possible.

x²y⁻³

Accepted Answer

Hey, everyone in this problem, we're asked to simplify the following expression to write the final answer using positive exponents. The expression for given is M cubed multiplied by N to the exponent -4. So we have that end term with a negative exponent. We're asked to write the answer with positive exponents. So that's what we're gonna have to tackle. We have four answer choices. Option A and to the exponent four divided by M Q. Option B M cubed multiplied by N to the exponent four. Option C negative M cubed divided by N to the exponent four and option D M cubed divided by N to the exponent four. We're gonna rewrite the expression we were given. So we have M cubed multiplied by N to the exponent -4. Now recall the rule for dealing with negative exponents. We have a negative exponent, say X to the exponent negative A. You can write this as one over X to the exponent A. So we put the entire term in the denominator and the exponent flips from being negative to positive, applying this to our problem. We have our acute, which we're gonna leave alone and then we have end to the exponent -4 or we can write this as one over, we have our base and to the positive exponent. So to the exponent four, OK. Now we've eliminated that negative exponent, we have M cubed multiplied by one divided by N to the exponent or so we can write this as M cubed divided by N to the exponent four. And that's our simplified expression using positive exponents. If we compare to this to our answer choices, we found our expression was M cubed divided by N to the exponent four which corresponds with answer choice D. Thanks everyone for watching. I hope this video helped see you in the next one.

In Exercises 35–52, write each expression with positive exponents only. Then simplify, if possible. x²y⁻³

Key Concepts

Exponents

Negative Exponents

Simplification of Algebraic Expressions

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