ACARA AC9M9A01, Exponent laws with variables
Year 9 · Algebra
Apply the index laws to numerical expressions with integer exponents and extend them to expressions with variables.
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Teaching guide
Apply the index laws to numerical expressions with integer exponents and extend them to expressions with variables.
Extend the index laws to negative and zero exponents with numbers first, then to variables, justifying each step from the meaning of a power.
Mishandling negative exponents (a negative power means a reciprocal, not a negative number), and adding exponents when the bases differ.
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