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CanadaON
Grade 9

3.09 Variables and exponents

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

$2y^2\times3y^3=6y^6$2y2×3y3=6y6

Easy
< 1min

Fill in the blank to make the equation true.

Medium
< 1min
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Outcomes

9.B2.2

Analyse, through the use of patterning, the relationships between the exponents of powers and the operations with powers, and use these relationships to simplify numeric and algebraic expressions.

9.C1.4

Simplify algebraic expressions by applying properties of operations of numbers, using various representations and tools, in different contexts.

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