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

Simplify: x⁵ ÷ (x² × y²) × y³

Sum

x⁵ ÷ (x² × y²) × y³

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

= x⁵⁻² − y³⁻²

= x³y

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Simplification of Expressions

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Chapter 11: Algebraic Expressions - Exercise 11 (E) [Page 147]

Chapter 11 Algebraic Expressions
Exercise 11 (E) | Q 1.11 | Page 147

If `[ 9^n. 3^2 . 3^n - (27)^n]/[ (3^m . 2 )^3 ] = 3^-3`

Show that : m - n = 1.

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

Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`

Simplify : a² − 2a + {5a² − (3a - 4a²)}

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

Simplify : `3"x"-[4"x"-overline(3"x"-5"y")-3 {2"x"-(3"x"-overline(2"x"-3"y"))}]`

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

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

Simplify the following:

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