What is the value of 2a^-1+a^-12a when a= 12?

Factorizing the numerator, 1a(2+12)a then becomes 52a^2 which is equal to 52 2^2 which is 10.

imc

prealgebra junior

Problem

What is the value of

\frac{2 a ^{- 1} + \frac{a ^{- 1}}{2}}{a}

when

a = \frac{1}{2}

(A)

1

(B)

2

(C)

\frac{5}{2}

(D)

10

Solution

Factorizing the numerator,

\frac{\frac{1}{a} \cdot ( 2 + \frac{1}{2} )}{a}

then becomes

\frac{\frac{5}{2}}{a ^{2}}

which is equal to

\frac{5}{2} \cdot 2^{2}

which is

10

Final answer