Calculate an answer involving a fractional index.

Calculate an answer involving a fractional index.

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.

Calculate an answer involving a fractional index.

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.

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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 $2^{m+n}$. 

Given $6$ vectors in $\mathbb{R^4}$ and given that they span $\mathbb{R^4}$ find a  basis.

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rebelmaths

Use this as a template to create Shear and Bending Moment diagram problems.   Supports concentrated forces and moments, uniformly distributed loads, and uniformly varying loads.

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Some basic tasks involving vectors, including converting to/from component form, scalar product, resultant vectors.