Simplify: X5 ÷ (X2 × Y2) × Y3

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

Evaluate : `(64)^(2/3) - root(3)(125) - 1/2^(-5) + (27)^(-2/3) xx (25/9)^(-1/2)`

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

Show that : m - n = 1.

Solve for x : (13)^√x = 4⁴ - 3⁴ - 6

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 : a² − 2a + {5a² − (3a - 4a²)}

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

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