How to input x^2 and x*y.

Questions to test if the student knows the inverse of an even power (and how to solve equations that contain a single power that is even). 

Questions to test if the student knows the inverse of fractional power or root (and how to solve equations that contain them). 

Questions to test if the student knows the inverse of an odd power (and how to solve equations that contain a single power that is odd). 

Power rule

Power rule

Using the chain rule with polynomials and negative powers

Power rule

Power rule

Using the reduction formulas for products of powers or sin and cosine

No description given

No description given

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

Introductory exercise about power sets.

Slightly harder introductory exercises about the power set.

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find negative powers of the complex numbers.

Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find positive powers of the complex numbers.

Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.

Questions on powers, the laws of indices, and exponential growth.

Differentiate $\displaystyle (ax^m+bx^2+c)^{n}$.

Using the reduction formulas for products of powers or sin and cosine

Just what the title says, I guess. I couldn't find a 0^0 that didn't converge to 1 except things like x^(1/ln(x)) as x->0, but they just need the e^ln() transformation, not L'hopital's rule!

Power series solution of $y''+axy'+by=0$ about $x=0$.

Power rule

Power rule

Laplace of constants and powers of t

rebelmaths

Slightly harder introductory exercises about the power set.

Introductory exercise about power sets.

$\displaystyle \int \frac{bx+c}{(ax+d)^n} dx=g(x)(ax+d)^{1-n}+C$  for a polynomial $g(x)$. Find $g(x)$.