Simplify the Following: X M + 2 N . X 3 M − 8 N ÷ X 5 M − 60 - Mathematics

Simplify the following:
`x^("m" + 2"n"). x^(3"m" - 8"n") ÷ x^(5"m" - 60)`

Sum

`x^("m" + 2"n"). x^(3"m" - 8"n") ÷ x^(5"m" - 60)`

= `x^("m" + 2"n" + 3"m" - 8"n" - 5"m" -(-60)` .....(Using a^m x aⁿ = a^m+n and a^m ÷ aⁿ = a^m-n)

= `x^("m" + 2"n" + 3"m" - 8"n" - 5"m" + 60)`

= `x^(-"m"-6"n" + 60)`.

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Simplification of Expressions

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Chapter 9: Indices - Exercise 9.1

Chapter 9 Indices
Exercise 9.1 | Q 7.08

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(b^-2 - a^-2) ÷ (b^-1 - a^-1)

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`(81)^(3/4) - (1/32)^(-2/5) + 8^(1/3).(1/2)^-1. 2^0`