Write Each of the Following in the Simplest Form: A-3 X A2 X A0 - Mathematics

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

Sum

a^-3x a² x a⁰
= `"a"^(-3+2+0)` ......(Using a^m x aⁿ = a^m+n)
= a^-1
= `(1)/"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 3.4

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

If 3^4x = ( 81 )^-1 and `10^(1/y) = 0.0001, "Find the value of " 2^(- x ) xx 16^y `

Solve : 3(2^x + 1) - 2^x+2 + 5 = 0.

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

Evaluate : `((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`

Simplify: a⁵ ÷ a³+ 3a × 2a

Simplify: x⁵ ÷ (x² × y²) × y³

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

Simplify the following and express with positive index:

`[("p"^-3)^(2/3)]^(1/2)`

Simplify the following:

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