Advertisements
Advertisements
प्रश्न
Evaluate : `((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`
Advertisements
उत्तर
`((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`
= `(x^(q xx 1/(qr)))/( x^(r xx 1/(qr))) xx (x^(r xx 1/(rp)))/(x^(p xx 1/(rp))) xx (x^(p xx 1/(pq)))/(x^(q xx 1/(pq)))`
= `(x^(1/r))/(x^(1/q)) xx (x^(1/p))/(x^(1/r)) xx (x^(1/q))/(x^(1/p))`
= 1
APPEARS IN
संबंधित प्रश्न
If 34x = ( 81 )-1 and `10^(1/y) = 0.0001, "Find the value of " 2^(- x ) xx 16^y `
Solve : 3(2x + 1) - 2x+2 + 5 = 0.
Prove that : `( a + b + c )/( a^-1b^-1 + b^-1c^-1 + c^-1a^-1 ) = abc`
Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`
Simplify : −3 (1 − x2) − 2{x2 − (3 − 2x2)}
Simplify : `3"x"-[4"x"-overline(3"x"-5"y")-3 {2"x"-(3"x"-overline(2"x"-3"y"))}]`
Simplify: (x5 ÷ x2) × y2 × y3
Simplify: 7x + 4 {x2 ÷ (5x ÷ 10)} − 3 {2 − x3 ÷ (3x2 ÷ x)}
Simplify the following and express with positive index:
`[("p"^-3)^(2/3)]^(1/2)`
Simplify the following:
`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`
