Advertisements
Advertisements
प्रश्न
Simplify the following:
`((64"a"^12)/(27"b"^6))^(-2/3)`
उत्तर
`((64"a"^12)/(27"b"^6))^(-2/3)`
= `((2^6 "a"^12)/(3^3"b"^6))^(-2/3)`
= `((2^(6xx(-2/3)) "a"^(12xx(-2/3)))/(3^(3xx^((-2/3)))"b"^(6xx(-2/3)))) ......("Using"("a" xx "b"^"n") = "a"^"n" xx "b"^"n" and ("a"/"b")^"n" = "a"^"n"/"b"^"n")`
= `(2^-4 "a"^-8)/(3^-2"b"^-4)`
= `(3^2"b"^4)/(2^4"a"^8) .....("Using" "a"^-"n" = 1/"a"^"n")`
= `(9"b"^4)/(16"a"^8)`.
APPEARS IN
संबंधित प्रश्न
Simplify : `"x" − "y" − {"x" − "y" − ("x" + "y") −overline("x"-"y")}`
Simplify : `"p"^2"x"-2{"px"-3"x"("x"^2-overline(3"a"-"x"^2))}`
Simplify : `"a"-["a"-overline("b+a") - {"a"-("a"- overline("b"-"a"))}]`
Simplify: 7x + 4 {x2 ÷ (5x ÷ 10)} − 3 {2 − x3 ÷ (3x2 ÷ x)}
Write each of the following in the simplest form:
(a3)5 x a4
Write each of the following in the simplest form:
a2 x a3 ÷ a4
Simplify the following:
`("a"^(1/3) + "a"^(-1/3))("a"^(2/3) - 1 + "a"^(-2/3))`
Simplify the following:
`x^("m" + 2"n"). x^(3"m" - 8"n") ÷ x^(5"m" - 60)`
Simplify the following:
`(81)^(3/4) - (1/32)^(-2/5) + 8^(1/3).(1/2)^-1. 2^0`
Simplify the following:
`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`
