5. Indices and Surds
iGCSE (2021 Edition)
5.05 Variables and indices
Interactive practice questions
We want to simplify the expression $a^2\times a^3$a2×a3.
a
First, write the expression in expanded form.
b
Use your answer to part (a) to fully simplify the expression $a^2\times a^3$a2×a3.
c
Select the statement of the multiplication law.
$a^m\times a^n=a\times m\times n$am×an=a×m×n
A
$a^m\times a^n=a^{m+n}$am×an=am+n
B
$a^m\times a^n=a^{m-n}$am×an=am−n
C
$a^m\times a^n=a^{m\times n}$am×an=am×n
D
Easy
1min
Fill in the blank to make the equation true.
Easy
< 1min
Simplify the following, giving your answer in index form:
$y^3\times y^2$y3×y2
Easy
< 1min
Simplify the following, giving your answer in index form:
$x^yx^z$xyxz
Easy
< 1min
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