Advertisements
Advertisements
Question
Simplify the following:
`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`
Advertisements
Solution
`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`
= `(5^"n" (5^2 - 6 xx 5))/(5^"n" (13 - 2 xx 5)`
= `(25 - 30)/(13 - 10)`
= `(-5)/(3)`
APPEARS IN
RELATED QUESTIONS
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 : `"a"-["a"-overline("b+a") - {"a"-("a"- overline("b"-"a"))}]`
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:
(a3)5 x a4
Simplify the following and express with positive index:
`[("p"^-3)^(2/3)]^(1/2)`
Simplify the following:
`root(3)(x^4y^2) ÷ root(6)(x^5y^-5)`
Simplify the following:
`{("a"^"m")^("m" - 1/"m")}^(1/("m" + 1)`
Simplify the following:
`(27/343)^(2/3) ÷ (1)/(625/1296)^(1/4) xx (536)/root(3)(27)`
