Math chapter 3 dividing exponential expressions
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This document discusses how to simplify exponential expressions when dividing numbers with the same base but different exponents. It provides examples of simplifying 37/33 and 53/58. The key rule explained is that when dividing numbers with the same base but different exponents, you copy the base and subtract the denominator's exponent from the numerator's exponent.
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Math chapter 3 dividing exponential expressions
- 2. Write 37 33 in expanded notation. 3 . 3 . 3 . 3 . 3 . 3 . 3 3 . 3 . 3 How do we simplify? 3 . 3 . 3 . 3 . 3 . 3 . 3 3 . 3 . 3 = 3 . 3 . 3 1 = 34
- 3. Write 53 58 in expanded notation. 5 . 5 . 5 5 . 5 . 5 . 5 . 5 . 5 . 5 . 5 Simplify: 5 . 5 . 5 5 . 5 . 5 . 5 . 5 . 5 . 5 . 5 = 1 5 . 5 . 5 . 5 . 5 = 1 55
- 4. The Rule: •So when we had 37 33, we have seven 3’s in the numerator and three 3’s in the numerator and three 3’s in the denominator. Upon simplifying, there are more 3’s in the numerator than the denominator. All 3 threes in the denominator were cancelled out together with the 3 threes in the numerator. They equate to 1. There are now 4 threes left in the numerator that are not cancelled out, which is the final answer.
- 5. The Rule: When dividing two numbers having different exponents but the same bases, we simply copy the base and subtract the denominator’s exponent from the numerator’s exponent. the exponents. 37 33 = 37 − 3 = 34 xm xn = xm −𝑛