Write Each of the Following in the Simplest Form: A2 X A3 ÷ A4 - Mathematics

Write each of the following in the simplest form:
a² x a³ ÷ a⁴

Sum

a² x a³ ÷ a⁴
= `"a"^(2+3 - 4)` .....(Using a^m x aⁿ = a^{m + n} and a^m ÷ aⁿ = a^{m - n})
= a¹
= a.

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Simplification of Expressions

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Chapter 9: Indices - Exercise 9.1

Chapter 9 Indices
Exercise 9.1 | Q 3.2

Prove that : `( a + b + c )/( a^-1b^-1 + b^-1c^-1 + c^-1a^-1 ) = abc`

Simplify : −3 (1 − x²) − 2{x² − (3 − 2x²)}

Simplify: (x⁵ ÷ x²) × y²× y³

Simplify: (y³ − 5y²) ÷ y × (y − 1)

Simplify the following:

`(27 xx^9)^(2/3)`

Simplify the following:

`(8 xx^6y^3)^(2/3)`

Simplify the following:

`("a"^(1/3) + "a"^(-1/3))("a"^(2/3) - 1 + "a"^(-2/3))`

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

Simplify the following:

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

Simplify the following:

`(27/343)^(2/3) ÷ (1)/(625/1296)^(1/4) xx (536)/root(3)(27)`