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NSW Y8 Maths Algebra Index Laws for Multiplying and Dividing

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Index Laws for Multiplying and Dividing Theory

when multiplying terms with the same base then the powers are added $$ a^m \times a^n=a^{m+n} $$ When dividing terms with the same base then the powers are subtracted. $$ a^m \div a^n=a^{m-n} $$ \begin{multicols}{2} \textbf{Example 1}\\ Simplify \(3 x^4 \times 2 x^3\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 3 x^4 \times 2 x^3 & =(3 \times 2) \times x^4 \times x^3 \\ & =6 x^{4+3} \\ & =6 x^7 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Simplify \(12 p^6 \div 4 p\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} 12 p^6 \div 4 p & =(12 \div 4) \times p^6 \div p^1 \\ & =3 p^{6-1} \\ & =3 p^5 \end{aligned}\) \end{multicols}

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  • Index Laws for Multiplying and Dividing - Video - Index Laws for Multiplying and Dividing - Example 1

  • Index Laws for Multiplying and Dividing - Video - Index Laws for Multiplying and Dividing - Example 2

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