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

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

योग

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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अध्याय 9: Indices - Exercise 9.1

अध्याय 9 Indices
Exercise 9.1 | Q 3.4

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)

Simplify : `"x" − "y" − {"x" − "y" − ("x" + "y") −overline("x"-"y")}`

Simplify : `3"x"-[3"x"-{3"x"-(3"x"-overline(3"x"-"y"))}]`

Simplify: x⁵ ÷ (x² × y²) × y³

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

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

Simplify the following and express with positive index:
3p^-2q³ ÷ 2p³q^-2

Simplify the following:

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

Simplify the following:

`{("a"^"m")^("m" - 1/"m")}^(1/("m" + 1)`