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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=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

0607C1.9A

Meaning of exponents (powers, indices) in Z. Rules for exponents.

0607E1.9A

Meaning of exponents (powers, indices) in Z. Rules for exponents.

0607E2.4

Indices.

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