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. 4x^-2

Accepted Answer

Hey everyone in this problem by using the rules of exponents were asked to simplify the following expression and eliminate the negative exponents and were given six p. to the exponent -22 six p. to the exponents -22. Alright so first thing we want to know is that this six is multiplying this entire expression. Okay so the exponents negative 22 does not apply to the six. Okay so we can write this as six times P. To the exponent negative 22. Okay just to make it clear that that exponent does not apply to that six. Okay now we want to eliminate negative exponents. Let's recall our rule for dealing with negative exponents. If we have a to the exponent negative end we can write this as one over A. To the exponent N. So when we have a negative exponent we can move the expression into the denominator and the exponents gonna become positive. So we can apply that to P to the negative 22. We're going to leave the six alone and we can write P. To the negative 22 as one over P. Two. The exponents 22. Alright and then just kind of multiplying this together simplifying back into a single expression. This is just gonna be six overpay to the exponent 22. So if we look at our answer choices. Okay we see that our simplified expression is going to be B six divided by P. To the exponent 22. That's it for this one. Thanks everyone for watching. See you in the next video

Write each expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers. See Example 4. 4x^-2

Key Concepts

Negative Exponents

Simplifying Expressions

Evaluating Expressions

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