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

योग

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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अध्याय 9: Indices - Exercise 9.1

अध्याय 9 Indices
Exercise 9.1 | Q 3.2

Evaluate : `(64)^(2/3) - root(3)(125) - 1/2^(-5) + (27)^(-2/3) xx (25/9)^(-1/2)`

If `[ 9^n. 3^2 . 3^n - (27)^n]/[ (3^m . 2 )^3 ] = 3^-3`

Show that : m - n = 1.

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

Simplify : `2{m-3(n+overline(m-2n))}`

Simplify: x⁵ ÷ (x² × y²) × y³

Simplify: (y³ − 5y²) ÷ y × (y − 1)

Simplify: 7x + 4 {x² ÷ (5x ÷ 10)} − 3 {2 − x³ ÷ (3x² ÷ x)}

Simplify the following:

`((36"m"^-4)/(49"n"^-2))^(-3/2)`

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`