Simplify: X5 ÷ (X2 × Y2) × Y3 - Mathematics

Simplify: x⁵ ÷ (x² × y²) × y³

योग

x⁵ ÷ (x² × y²) × y³

`="x"^5/("x"^2"y"^2)xx"y"^3`

= x⁵⁻² − y³⁻²

= x³y

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अध्याय 11: Algebraic Expressions - Exercise 11 (E) [पृष्ठ १४७]

अध्याय 11 Algebraic Expressions
Exercise 11 (E) | Q 1.11 | पृष्ठ १४७

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

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)]`

Prove that : `( a + b + c )/( a^-1b^-1 + b^-1c^-1 + c^-1a^-1 ) = abc`

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

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

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

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

Simplify the following:

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

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

Simplify the following:

`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`