Write Each of the Following in the Simplest Form: a 1 3 ÷ a − 2 3 - Mathematics

Write each of the following in the simplest form:

`"a"^(1/3) ÷ "a"^(-2/3)`

बेरीज

`"a"^(1/3) ÷ "a"^(-2/3)`

= `"a"^(1/3 - (-2/3))` ......(Using a^m ÷ aⁿ = a^{m - n})

= `"a"^(1/3 + 2/3)`

= `"a"^((1 + 2)/(3)`
= a¹
=a.

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Simplification of Expressions

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पाठ 9: Indices - Exercise 9.1

पाठ 9 Indices
Exercise 9.1 | Q 3.3

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

Simplify: a⁵ ÷ a³+ 3a × 2a

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:
a² x a³ ÷ a⁴

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

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:

`("a"^(1/3) + "a"^(-1/3))("a"^(2/3) - 1 + "a"^(-2/3))`

Simplify the following:
`x^("m" + 2"n"). x^(3"m" - 8"n") ÷ x^(5"m" - 60)`