Advertisements
Advertisements
प्रश्न
Simplify the following:
`(27 xx^9)^(2/3)`
उत्तर
`(27 xx^9)^(2/3)`
= `(3^3 xx^9)^(2/3)`
= `(3^3)^(2/3)(xx^9)^(2/3)` ......(Using (a x b)n = an x bn)
= `(3)^(3 xx 2/3) (xx)^(9 xx 2/3)` .....(Using (am)n = amn)
= (3)2 x3 x 2
= 9 x6.
APPEARS IN
संबंधित प्रश्न
Evaluate : `(64)^(2/3) - root(3)(125) - 1/2^(-5) + (27)^(-2/3) xx (25/9)^(-1/2)`
Prove that : `( a + b + c )/( a^-1b^-1 + b^-1c^-1 + c^-1a^-1 ) = abc`
Simplify : `3"x"-[3"x"-{3"x"-(3"x"-overline(3"x"-"y"))}]`
Simplify: a5 ÷ a3 + 3a × 2a
Simplify: x5 ÷ (x2 × y2) × y3
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)`
Simplify the following:
`(3^(x + 1) + 3^x)/(3^(x + 3) - 3^(x + 1)`
Simplify the following:
`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`
Simplify the following:
`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`
