WORKED EXAMPLE 11 Simplify by using index notation where appropriate

Question

Simplify:
a. 2xk
THINK
b. 3x2k
c. k x 2kx
d. 3kx2k
WRITE
a. 2Xk
= 2k
6k
C. kX2XkXA
= 2 x k2xx
= 2k2:r
d. 3XkX2Xk
= 6k2
e. 3k x 2k2X
2.
3.
2.
3.
2.
3.
2.
3.
The coefficient of a pronumeral represents multiples of
the pronumeral.
Remove the multiplication sign.
Rewrite in expanded form.
Multiply the numbers.
Remove the multiplication sign.
Rewrite in expanded form.
Write pronumerals with index.
Remove the multiplication sign.
Rewrite in expanded form.
Multiply the numbers and write pronumerals with index.
Remove the multiplication sign.
Rewrite in expanded form.
Multiply the numbers and •write pronumerals With index.
Remove the multiplication sign.
e.
3xkx2xkxkxx

Answer 1

= 6k^3