A power is an expression that represents repeated
multiplication of the same factor.
Example – 64 is a power of 4 because 4 x 4 x 4 equals
A power can be written using two numbers a base
and an exponent.
n2 n to the second or n squared
n3 n to the third or n cubed
n4 n to the fourth
n5 n to the fifth
You can estimate the distance in cm that a
leopard frog can jump using the expression 13l
where l is the frog’s length in cm. What
distance can a leopard frog that is 12.5 cm long
Olivia was the leading scorer on her soccer
team. She scored 120 goals and had 20 assists
in her DIS career.
(a) The number n of points awarded for goals is
given by 2g where g is the number of goals
scored. How many points did Olivia earn for
(b) The point total is given by n +a where a is the
number of assists. Use your answer from part (a)
to find Olivia’s point total.
If you know how tall you were at the age of 2,
you can estimate your adult height (in inches).
Girls can use the expression 25 + 1.17h where h
is the height (in inches) at the age of 2. Boys
can use the expression 22.7 + 1.37h. Estimate
the adult height of each person to the nearest
(a) A girl who was 34 inches tall at age 2.
(b) A boy who was 33 inches tall at age 2.