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A question to test basic differentiation of functions, including powers of x, trig, log and exponential functions.

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

This question provides practice at differentiating polynomials.

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

Given a number evaluate simple power, negative power, to one half.

Given a number evaluate simple power, negative power, to one half.

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

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Power rule

Factorising 5 to 7 digit numbers into a product of prime powers.

Uses the marking algorithms from question 1 of this CBA

Fill in a table of powers of 10.

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

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Fill in a table of powers of 10.

Fill in a table of powers of 10.

Fill in a table of powers of 10.

Fill in a table of powers of 10.

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!

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

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