establish and apply the exponent laws with positive integer exponents and the zero exponent, using exponent notation with numbers
Elaborations
recognising the connection between exponent form and expanded form with the exponent laws of product of powers rule, quotient of powers rule, and power of a power rule, for example, 23×22 can be represented as 2×2×2×2×2=25,and connecting the result to the addition of exponents
applying the exponent laws of the product of powers rule, quotient of powers rule, power of a power rule and zero exponent individually and in combination; for example, using exponents to determine the effect on the volume of a 2 centimetre cube when the cube is enlarged to a 6 centimetre cube, 6323=23×3323=33, so the volume is increased by a factor of 27
using digital tools to systematically explore the application of the exponent laws; observing that the bases need to be the same
using examples such as 3434=1,and34-4=30to illustrate the necessity that for any non-zero natural number n,n0=1
Code
VC2M8N02
Curriculum resources and support
Find related teaching and learning resources in
Arc*
