List of top Mathematics Questions on Exponents

What is the total number of terms in the expansion of \( (x+y)^{15} \)?

What is the value of \( i^{4k+2} \) where \( k \) is an integer?

What is the value of \( ^nC_{n-1} \)?

If \( 5\sqrt{5} \times 5^3 \div 5^{-3/2} = 5^a \), then the value of \( a \) is:

If \( 2^x = 5^{y} = 10^{-z} \), then the value of \( \left( \frac{1}{x} + \frac{1}{y} + \frac{1}{z} \right) \) is:

The solution of the equation \( y^{\frac{2}{3}} - 2y^{\frac{1}{3}} = 15 \) is:

The value of \[ 1+\cot^2 30^\circ-\sec^2 45^\circ \] is