Question

simplify 2 raise to the power -1 + 4 raised to the power minus + 3 raise to the power -1​

Answer 1

Question:

Simplify :-

${2}^{ - 1} + {4}^{ - 1} + {3}^{ - 1}$

Solution:

$\implies \frac{1}{{2}^{1}} + \frac{1}{{4}^{1}} + \frac {1}{{3}^{1}}$

$\implies \frac{1}{2} + \frac{1}{4} + \frac{1}{3}$

because,

$\huge \boxed{ {a}^{-n} = \frac{1}{{a}^{n}}}$

★ First, find the L.C.M. of the denominators ★

【L.C.M. solution is refer to the above attachment】

L.C.M. of 2, 4 & 3 (denominators) = 12

$\implies \frac{6 + 3 + 4}{12}$

$\implies \frac{13}{12}$

Answer 2

Step-by-step explanation:

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