Simplify: A5 ÷ A3 + 3a × 2a

Simplify: a⁵ ÷ a³+ 3a × 2a

योग

a⁵ ÷ a³+ 3a × 2a

= a⁵⁻³ + 3a × 2a

= a² + 6a²

= 7a²

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Simplification of Expressions

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

अध्याय 11 Algebraic Expressions
Exercise 11 (E) | Q 1.1 | पृष्ठ १४७

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 : −3 (1 − x²) − 2{x² − (3 − 2x²)}

Simplify: x⁵ ÷ (x² × y²) × y³

Simplify: (y³ − 5y²) ÷ y × (y − 1)

Simplify: 7x + 4 {x² ÷ (5x ÷ 10)} − 3 {2 − x³ ÷ (3x² ÷ x)}

Simplify the following and express with positive index:
3p^-2q³ ÷ 2p³q^-2

Simplify the following:

`(81)^(3/4) - (1/32)^(-2/5) + 8^(1/3).(1/2)^-1. 2^0`

Simplify the following:

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