Understand Multiplication of Algebraic Terms with Powers

In this worksheet, students multiply algebraic terms with indices or powers.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Understand Expressions, Equations, Inequalities, Terms and Factors

Difficulty level:

QUESTION 1 of 10

This worksheet is about the multiplication of algebraic terms with powers.

Example

Do the following multiplication.

a9 × a3 =

Method 1

Remember what a9 and a3 mean and multiply them together.

We get: a × a × a × a × a × a × a × a × a × a × a × a

This can be simplified to a12

Method 2

The other way we can look at this is by just looking at the indices. We already know that a9 x a3 = a12

The trick to notice here is that if we are multiplying numbers written as powers, we can just add the indices.

a9 x a3 = a(9+3) = a12

Do the following multiplication & select the right answer.

a4 × a5 =
a9

a20

Do the following multiplication & select the right answer.

a7 × a4 =
a11

a12

Do the following multiplication & select the right answer.

a3 × a8 =
a11

a24

Do the following multiplication & select the right answer.

a2 × a7 =
a9

a27

Do the following multiplication & select the right answer.

a10 × a6 =
a16

a19

Do the following multiplication & select the right answer.

a2 × a6 =
a8

a26

Do the following multiplication & select the right answer.

a3 × a10 =
a30

a13

Do the following multiplication & select the right answer.

a2 × a3 =
a5

a6

Do the following multiplication & select the right answer.

a12 × a12 =
a24

a144

Do the following multiplication & select the right answer.

a13 × a24 =
a11

a37

• Question 1

Do the following multiplication & select the right answer.

a4 × a5 =
a9
EDDIE SAYS

When we are multiplying numbers written in index form, we need to add the indices

a4 x a5 = a(4+5) = a9

• Question 2

Do the following multiplication & select the right answer.

a7 × a4 =
a11
EDDIE SAYS

When we are multiplying numbers written in index form, we need to add the indices

a7 x a4 = a(7+4) = a11

• Question 3

Do the following multiplication & select the right answer.

a3 × a8 =
a11
EDDIE SAYS

When we are multiplying numbers written in index form, we need to add the indices

a3 x a8 = a(3+8) = a11

• Question 4

Do the following multiplication & select the right answer.

a2 × a7 =
a9
EDDIE SAYS

When we are multiplying numbers written in index form, we need to add the indices

a2 x a7 = a(2+7) = a9

• Question 5

Do the following multiplication & select the right answer.

a10 × a6 =
a16
EDDIE SAYS

When we are multiplying numbers written in index form, we need to add the indices

a10 x a6 = a(10+6) = a16

• Question 6

Do the following multiplication & select the right answer.

a2 × a6 =
a8
EDDIE SAYS

When we are multiplying numbers written in index form, we need to add the indices

a2 x a6 = a(2+6) = a8

• Question 7

Do the following multiplication & select the right answer.

a3 × a10 =
a13
EDDIE SAYS

When we are multiplying numbers written in index form, we need to add the indices

a3 x a10 = a(3+10) = a13

• Question 8

Do the following multiplication & select the right answer.

a2 × a3 =
a5
EDDIE SAYS

When we are multiplying numbers written in index form, we need to add the indices

a2 x a3 = a(2+3) = a5

• Question 9

Do the following multiplication & select the right answer.

a12 × a12 =
a24
EDDIE SAYS

When we are multiplying numbers written in index form, we need to add the indices

a12 x a12 = a(12+12) = a24

• Question 10

Do the following multiplication & select the right answer.

a13 × a24 =
a37
EDDIE SAYS

When we are multiplying numbers written in index form, we need to add the indices

a13 x a24 = a(13+24) = a37

---- OR ----

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