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

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 :
`[ 2^n xx 6^(m + 1 ) xx 10^( m - n ) xx 15^(m + n - 2)]/[4^m xx 3^(2m + n) xx 25^(m - 1)]`

Simplify : `"p"^2"x"-2{"px"-3"x"("x"^2-overline(3"a"-"x"^2))}`

Simplify : `"a"-["a"-overline("b+a") - {"a"-("a"- overline("b"-"a"))}]`

Simplify: x⁵ ÷ (x² × y²) × y³

Simplify: (y³ − 5y²) ÷ y × (y − 1)

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

Simplify the following:

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

Simplify the following:

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

Simplify the following:

`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`