Question

$simplify \: \: \: \: (6 ^{ - 1} + ( \frac{3}{2} ) ^{ - 1} )^{ - 1}$
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Answer 1

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Answer 2

ANSWER:

• The Value of above expression = 6/5

GIVEN:

$(6 {}^{ - 1} + (\dfrac{3}{2} ) {}^{ - 1} ) {}^{ - 1}$

TO FIND:

• The value of above expression.

SOLUTION:

$= (6 {}^{ - 1} + (\dfrac{3}{2} ) {}^{ - 1} ) {}^{ - 1} \\ \\ = ( \frac{1}{6} + ( \frac{2}{3} ) {}^{1} ) {}^{ - 1} \\ \\ = ( \frac{1}{6} + \frac{2}{3} ) {}^{ - 1} \\ \\ = ( \frac{1 + 4}{6} ) {}^{ - 1} \\ \\ = ( \frac{5}{6} ) {}^{ - 1} \\ \\ = \frac{6}{5}$

• The value of above expression = 6/5

NOTE:

Some important formulas:

$\implies \: a {}^{x} \times a {}^{y} = a {}^{x + y} \\ \\ \implies \: a {}^{x} \div a {}^{y} = a {}^{x - y} \\ \\ \implies \: (a) {}^{ - 1} = \frac{1}{a} \\ \\ \implies a {}^{0} = 1$