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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. If P = 0.3 × 0.3 + 0.03 × 0.03 - 0.6 × 0.03 and Q = 0.54, then  \(\rm \frac{P}{Q}\) is equal to:

  2. The value of \(\left(\frac{1}{2}\right)^{−2} \times\left(\frac{1}{3}\right)^{−2} \times\left(\frac{1}{4}\right)^{−2} \)  is

  3. The solution of the equation \(\frac{2}{3 x-4}+\frac{2}{2 x-6}=0 \) is:

  4. What will come in the place of question mark (?) in the given expression?

    \(\sqrt{21+\sqrt{49}+\sqrt{64}} \space {\%\:of\:5000}=?\)

  5. There are 5 tasks and 5 persons. Task-1 cannot be assigned to either person-1 or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?

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