Factorising without powers

Factorise an expression of the form $ax^n+bx^m$.

Substituting a value of $x$ into $x^2$ or $x^3$.

Simplifying single term expressions involving indices.

Convert numbers between 0 and 1 intro standard form/scientific notation.

Convert numbers between 0 and 1 intro standard form/scientific notation.

Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.

Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.

Solving a separable differential equation that describes the rate of decay of radioactive isotopes over time with a known initial condition to calculate the mass of the isotope after a given time and the time taken for the mass to reach $m$ grams. 

Decay Constant - Radioactivity - Nuclear Power (nuclear-power.com)

Using indices rules to write powers as negative powers

Writing negative powers as fractions

Writing fractins as negative powers

Using indices rules to write expressions as negative powers.

Using indices rules to write fractions as negative powers.

Calculate an answer involving a fractional index.

Using rules for roots and powers to write expressions with only powers

Using indices to write roots as fractional powers

Using indices rules to rewrite an expression from $a^\frac{m}{n}$ to $b$, for integers $a$, $b$, $m$ and $n$.

Calculate an answer involving a fractional index.

Simplifying expressions from $(z^m)^n$ to $z^{mn}$. 

Simplifying expressions from $y^m\div y^n$ to $y^{m-n}$. 

Simplifying expressions from $x^mx^n$ to $x^{m+n}$. 

Simplifying expressions from $(8^m)^n$ to $8^{mn}$. 

Simplifying expressions from $3^m\div 3^n$ to $5^{m-n}$ where $n$ can be bigger then $m$.

Simplifying expressions from $5^m\div 5^n$ to $5^{m-n}$. 

Simplifying expressions from $2^m2^n$ to $2^{m+n}$. 

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

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

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

No description given