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iGCSE (2021 Edition)

8.04 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=amn

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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Outcomes

0580C1.7A

Understand the meaning of indices (fractional, negative and zero) and use the rules of indices.

0580E1.7A

Understand the meaning of indices (fractional, negative and zero) and use the rules of indices.

0580C2.4

Use and interpret positive, negative and zero indices. Use the rules of indices.

0580E2.4A

Use and interpret positive, negative and zero indices. Use the rules of indices.

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