The value of \(\left( \frac{64}{25} \right)^{-\left( \frac{3}{2} \right)} \times \left( \frac{2}{5} \right)^6 \div \sqrt[4]{(16)^{-3}} \, \text{ is:}\)
1/125
The expression is 64/25 × (2/5)6 ÷ 16-3. Start by simplifying the exponents. - 64/25 = 2^6/5^2 and (2/5)6 = 2^6/5^6, so the product is 2^12/5^8. - Then, 16-3 = 2^-12. - Now, multiply and divide: (2^12/5^8) × 2^-12 = 1/5^8, and 5^8 = 390625, so the final result is 1/125.
Important Questions from Simplification
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:
The value of \(\left(\frac{1}{2}\right)^{−2} \times\left(\frac{1}{3}\right)^{−2} \times\left(\frac{1}{4}\right)^{−2} \) is
The solution of the equation \(\frac{2}{3 x-4}+\frac{2}{2 x-6}=0 \) is:
What will come in the place of question mark (?) in the given expression?
\(\sqrt{21+\sqrt{49}+\sqrt{64}} \space {\%\:of\:5000}=?\)
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?
