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

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 6: Indices - Exercise 9.1

Chapter 6 Indices
Exercise 9.1 | Q 3.2

Solve for x : (13)^√x = 4⁴ - 3⁴ - 6

If (a^m)ⁿ = a^m .aⁿ, find the value of : m(n - 1) - (n - 1)

Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`

Simplify : a² − 2a + {5a² − (3a - 4a²)}

Write each of the following in the simplest form:
(a³)⁵ x a⁴

Write each of the following in the simplest form:
a^-3x a² x a⁰

Write the following in the simplest form:
(b^-2 - a^-2) ÷ (b^-1 - a^-1)

Simplify the following:

`root(3)(x^4y^2) ÷ root(6)(x^5y^-5)`

Simplify the following:

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

Simplify the following:

`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`