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
The value of {5 - 5 ÷ (10 - 12) × 8 + 9} × 3 + 5 + 5 × 5 ÷ 5 of 5 is:
What should come in place of the question mark (?) in the following question?
[((16 ÷ 4) × 4) ÷ 4] = ?
Simplify the following expression.
\(\frac{{6\frac{1}{2} + 2\frac{5}{7} \times \frac{{14}}{{19}} - \frac{1}{2} \div 2\ of\frac{1}{4}}}{{11 \times 12 \div 12 + 12}}\)
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:
The value of \(\left( {{1 \over 2}} \right)\) [{–2(12 + 2)}10] is:
