Summary

This document explains divisional law, a method for simplifying fractions with the same base but different indices. It provides an example of how to apply this law to calculations involving variables and exponents. This guide provides clear explanations with steps.

Full Transcript

Divisonal law Divisional law is where we have a fraction with the same base and different indices we can use the base and subtract the bottom indices from the top For example, 10 to the power of 6 over 10 to the power of 2, is 10, as they have the same base but the indices are now 4 as it is 6 min...

Divisonal law Divisional law is where we have a fraction with the same base and different indices we can use the base and subtract the bottom indices from the top For example, 10 to the power of 6 over 10 to the power of 2, is 10, as they have the same base but the indices are now 4 as it is 6 minus two When we have a problem that includes a fraction with the same base, different indices, and a variable then we can use these simple steps, rewrite as a fraction, put an “x” in there, split into 2 different fractions, evaluate and simplify, but in the simplest form As seen as here, 8b to the power of 10 dived by 2b to the power of 6, we can rewrite the division into fraction for as 8b to the power of 10 over 2b to the power of 6, the second step would be the x signs in the numerator and denominator, this would look like 8 times b to the power of ten over 2 times b to the power of 6, the we wasn’t to use the multiplication of fractions rule in reverse to create 2 separate fractions, this is splitting the fractions into to different fractions ones, numbers, the other letters and indices such as 8 over 2 times b to the power of 10 over b to the power of 6, we then elvaylate the ”numbers fraction and simplify the “ power fraction using the Division Law ( same base), this would look like 4 times b to the power of 10- 6, we than write the answer in thesimplest form looking like 4b to the power of 4

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