Advertisements
Advertisements
Question
Write each of the following in the simplest form:
`"a"^(1/3) ÷ "a"^(-2/3)`
Sum
Solution
`"a"^(1/3) ÷ "a"^(-2/3)`
= `"a"^(1/3 - (-2/3))` ......(Using am ÷ an = am - n)
= `"a"^(1/3 + 2/3)`
= `"a"^((1 + 2)/(3)`
= a1
=a.
shaalaa.com
Simplification of Expressions
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
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 : `2[6 + 4 {"m"-6(7 - overline("n"+"p")) + "q"}]`
Simplify: x5 ÷ (x2 × y2) × y3
Simplify: (x5 ÷ x2) × y2 × y3
Write each of the following in the simplest form:
(a3)5 x a4
Simplify the following and express with positive index:
3p-2q3 ÷ 2p3q-2
Simplify the following:
`(27 xx^9)^(2/3)`
Simplify the following:
`(8 xx^6y^3)^(2/3)`
Simplify the following:
`(27/343)^(2/3) ÷ (1)/(625/1296)^(1/4) xx (536)/root(3)(27)`