1 Simplifying Indices Change to common base Change to common power Think of how to make it common power Combine the base and simplify Ensure that common.

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Presentation transcript:

1 Simplifying Indices Change to common base Change to common power Think of how to make it common power Combine the base and simplify Ensure that common power Break each term into its prime factor Simplify the indices across other terms Simplify the indices within each term

2 Change to common base Break each term into its prime factor Simplify the indices across other terms Simplify the indices within each term

3 Change to common base Break each term into its prime factor Simplify the indices across other terms Simplify the indices within each term

4 Change to common base Break each term into its prime factor Simplify the indices across other terms Simplify the indices within each term

5 Change to common base

6 3 Change to common power Think of how to make it common power Combine the base and simplify Ensure that common power

7

8 Simplify the indices within each bracket Multiply inner power with other power Simplify the indices using indices law

9 Simplify the indices within each term Express the answer in Surd Form as Question is given in surd form Simplify the indices using indices law

10 Simplify the indices within each term Express the answer in Surd Form as Question is given in surd form Simplify the indices using indices law

11 Express base into its prime factors Replace the term with y Simplify in terms of y only. No x term should be seen! (a) Simplify the base

12 (d) Express base into its prime factors Replace the term with y Simplify in terms of y only. No x term should be seen! Simplify the base

13 (f) Express base into its prime factors Replace the term with y Simplify in terms of y only. No x term should be seen! Simplify the base

14 (a) Express base into its Desired power Replace the term with y Simplify in terms of y only. No x term should be seen!

15 Think:

16 (b) Express base into its Desired power Replace the term with y Simplify in terms of y only. No x term should be seen!

17 (d) Express base into its Desired power Replace the term with y Simplify in terms of y only. No x term should be seen!

18 (f) Express base into its Desired power Replace the term with y Simplify in terms of y only. No x term should be seen! Why?