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These questions aim to test understanding and ability to use the laws of indices.

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Using the laws of indices, simplify each of the following and write your answer with all positive indices.

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Recall that $a^{0} = 1$ for any number $a$.

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For your answers to write $a^{2}$, for example, use a^2. To write $\\frac{a^2}{b^3}$, for example, use a^2 / b^3. 

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Used in parts a,b

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$\\frac{a^{\\var{x}} \\; b^{\\var{y}}}{a^{\\var{x1}} \\; b^{\\var{y1}}} =$ [[0]]

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Use the rule: $\\frac{a^m}{a^n} = a^{m-n}$.

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$(\\var{g}\\;x^{\\var{w}}\\; y^{\\var{b}})^\\frac{1}{\\var{d}} =$ [[0]]

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Use the rule: $(a^m)^n  = a^{m\\times n}$.

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$ \\sqrt{\\var{h} \\; x^{\\var{k}}\\; y^{\\var{l}}}=$ [[0]]

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Use the rule: $\\frac{a^m}{ a^n} = a^{m-n}$.

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$ x^{\\var{m}} y^{\\var{n}} z^{\\var{p}} x^\\var{m1} z^{\\var{p1}} x^\\var{m2} y^{\\var{n1}} =$  [[0]]

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Laws of indices

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