Advertisements
Advertisements
Question
Evaluate : `((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`
Advertisements
Solution
`((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
RELATED QUESTIONS
If 34x = ( 81 )-1 and `10^(1/y) = 0.0001, "Find the value of " 2^(- x ) xx 16^y `
Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`
Simplify : `3"x"-[3"x"-{3"x"-(3"x"-overline(3"x"-"y"))}]`
Simplify : `2[6 + 4 {"m"-6(7 - overline("n"+"p")) + "q"}]`
Simplify: x5 ÷ (x2 × y2) × y3
Simplify: 7x + 4 {x2 ÷ (5x ÷ 10)} − 3 {2 − x3 ÷ (3x2 ÷ x)}
Write each of the following in the simplest form:
a2 x a3 ÷ a4
Simplify the following and express with positive index:
3p-2q3 ÷ 2p3q-2
Simplify the following:
`("a"^(1/3) + "a"^(-1/3))("a"^(2/3) - 1 + "a"^(-2/3))`
Simplify the following:
`root(3)(x^4y^2) ÷ root(6)(x^5y^-5)`
