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

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

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

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

Simplify: (y³ − 5y²) ÷ y × (y − 1)

Simplify: `3"a"xx[8"b" ÷ 4-6{"a"-(5"a"-overline(3"b"-2"a"))} ]`

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

Write each of the following in the simplest form:

`"a"^(1/3) ÷ "a"^(-2/3)`

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

Simplify the following and express with positive index:

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

Simplify the following:

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