Advertisements
Advertisements
Question
Simplify the following:
`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`
Advertisements
Solution
`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`
= `(2^"m" (3 - 1))/(2^"m" (2^4 - 2)`
= `(2)/(16 - 2)`
= `(2)/(14)`
= `(1)/(7)`.
APPEARS IN
RELATED QUESTIONS
Prove that : `( a + b + c )/( a^-1b^-1 + b^-1c^-1 + c^-1a^-1 ) = abc`
Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`
Simplify : `2[6 + 4 {"m"-6(7 - overline("n"+"p")) + "q"}]`
Simplify : `3"x"-[4"x"-overline(3"x"-5"y")-3 {2"x"-(3"x"-overline(2"x"-3"y"))}]`
Simplify: (x5 ÷ x2) × y2 × y3
Write each of the following in the simplest form:
a-3 x a2 x a0
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:
`(27 xx^9)^(2/3)`
Simplify the following:
`root(3)(x^4y^2) ÷ root(6)(x^5y^-5)`
