Advertisements
Advertisements
प्रश्न
Simplify the following:
`(3^(x + 1) + 3^x)/(3^(x + 3) - 3^(x + 1)`
Advertisements
उत्तर
`(3^(x + 1) + 3^x)/(3^(x + 3) - 3^(x + 1)`
= `(3^x (3 + 1))/(3^x(3^3 - 3)`
= `(4)/(27 - 3)`
= `(4)/(24)`
= `(1)/(6)`.
APPEARS IN
संबंधित प्रश्न
If `[ 9^n. 3^2 . 3^n - (27)^n]/[ (3^m . 2 )^3 ] = 3^-3`
Show that : m - n = 1.
Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`
Evaluate : `((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`
Simplify : `"p"^2"x"-2{"px"-3"x"("x"^2-overline(3"a"-"x"^2))}`
Simplify: a5 ÷ a3 + 3a × 2a
Simplify the following and express with positive index:
3p-2q3 ÷ 2p3q-2
Simplify the following:
`(8 xx^6y^3)^(2/3)`
Simplify the following:
`((64"a"^12)/(27"b"^6))^(-2/3)`
Simplify the following:
`("a"^(1/3) + "a"^(-1/3))("a"^(2/3) - 1 + "a"^(-2/3))`
Simplify the following:
`(81)^(3/4) - (1/32)^(-2/5) + 8^(1/3).(1/2)^-1. 2^0`
