Advertisements
Advertisements
Question
Evaluate : `(64)^(2/3) - root(3)(125) - 1/2^(-5) + (27)^(-2/3) xx (25/9)^(-1/2)`
Advertisements
Solution
`(64)^(2/3) - root(3)(125) - 1/2^(-5) + (27)^(-2/3) xx (25/9)^(-1/2)`
= `(4^3)^(2/3) - root(3)(5^3) - 2^5 + (3^3)^(-2/3) xx ((5^2)/(3^2))^(-1/2)`
= `4^2 - 5 - 2^5 + 3^-2 xx (5/3)^( 2 xx (-1/2)`
= `16 - 5 - 32 + 1/3^2 xx (5/3)^-1`
= `- 21 + 1/9 xx 3/5`
= `- 21 + 1/15`
= `[ - 315 + 1 ]/15`
= `- 314/15`
= `- 20 14/15`
APPEARS IN
RELATED QUESTIONS
Evaluate : `((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`
Simplify : `"x" − "y" − {"x" − "y" − ("x" + "y") −overline("x"-"y")}`
Simplify : −3 (1 − x2) − 2{x2 − (3 − 2x2)}
Simplify: 7x + 4 {x2 ÷ (5x ÷ 10)} − 3 {2 − x3 ÷ (3x2 ÷ x)}
Write each of the following in the simplest form:
`"a"^(1/3) ÷ "a"^(-2/3)`
Write the following in the simplest form:
(b-2 - a-2) ÷ (b-1 - a-1)
Simplify the following and express with positive index:
`[("p"^-3)^(2/3)]^(1/2)`
Simplify the following:
`((36"m"^-4)/(49"n"^-2))^(-3/2)`
Simplify the following:
`("a"^(1/3) + "a"^(-1/3))("a"^(2/3) - 1 + "a"^(-2/3))`
Simplify the following:
`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`
