Advertisements
Advertisements
प्रश्न
Simplify the following:
`(27 xx^9)^(2/3)`
Advertisements
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)`
Solve for x : (13)√x = 44 - 34 - 6
Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`
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"x"-[4"x"-overline(3"x"-5"y")-3 {2"x"-(3"x"-overline(2"x"-3"y"))}]`
Simplify: (y3 − 5y2) ÷ y × (y − 1)
Simplify the following:
`((64"a"^12)/(27"b"^6))^(-2/3)`
Simplify the following:
`x^("m" + 2"n"). x^(3"m" - 8"n") ÷ x^(5"m" - 60)`
Simplify the following:
`(27/343)^(2/3) ÷ (1)/(625/1296)^(1/4) xx (536)/root(3)(27)`
