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NSW Y8 Maths

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NSW Y8 Maths Algebra Mixed Index Laws

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Mixed Index Laws Theory

\begin{multicols}{2} \textbf{Example 1}\\ Simplify \(\left(2 a^3\right)^2 \times 3 a \div 6 a^2\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} \left(2 a^3\right)^2 \times 3 a \div 6 a^2 & =2^2 \times a^{3 \times 2} \times 3 a \div 6 a^2 \\ & =4 a^6 \times 3 a \div 6 a^2 \\ & =(4 \times 3) a^{6+1} \div 6 a^2 \\ & =12 a^7 \div 6 a^2 \\ & =(12 \div 6) \times a^{7-2} \\ & =2 a^5 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Simplify \(\dfrac{15 \text{~m}^7 \times(3 x)^0}{3 \text{~m}^2}\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} \frac{15 \text{~m}^7 \times(3 x)^0}{3 \text{~m}^2} & =\frac{15 \text{~m}^7 \times 1}{3 \text{~m}^2} \\ & =(15 \div 3) \times \text{m}^{7-2} \\ & =5 \text{~m}^5 \end{aligned}\) \end{multicols}

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Videos relating to Mixed Index Laws.

  • Mixed Index Laws - Video - Mixed Index Laws - Example 1

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