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Question

Find the value of 

\[\left( \frac{1}{2} \right)^{-4} + \left( \frac{1}{4} \right)^{-4} + \left( \frac{1}{7} \right)^{-4}.\]

The correct answer is

2673

The values of the individual terms are:
(1/2)-4 = 16,
(1/4)-4 = 256,
(1/7)-4 = 2401.
Adding these together: 16 + 256 + 2401 = 2673. Hence, the correct value is 2.2673.

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Important Questions from Simplification

  1. The value of {5 - 5 ÷ (10 - 12) × 8 + 9} × 3 + 5 + 5 × 5 ÷ 5 of 5 is:

  2. What should come in place of the question mark (?) in the following question?

    [((16 ÷ 4) × 4) ÷ 4] = ?

  3. Simplify the following expression.

    \(\frac{{6\frac{1}{2} + 2\frac{5}{7} \times \frac{{14}}{{19}} - \frac{1}{2} \div 2\ of\frac{1}{4}}}{{11 \times 12 \div 12 + 12}}\)

  4. The value of \(\left( {\frac{7}{5} \div \frac{7}{{10}}of\frac{3}{4}} \right) \div \frac{4}{9} + \left( {\frac{7}{{16}} \div 10\frac{1}{2} \times 7\frac{1}{5}} \right) \times \frac{5}{{12}} \)  is:

  5. The value of \(\left( {{1 \over 2}} \right)\) [{–2(12 + 2)}10] is:

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