# Powers of Algebraic Powers (1)

In this worksheet, students must simplify powers of algebraic powers.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:

### QUESTION 1 of 10

This worksheet is about simplifying powers of algebraic powers.

Example

Simplify:

(a3)4

Remember what to the power of 4 means and multiply the terms 4 times.

We get:

a3 × a3 × a3 × a3

Add the indices of identical letters (3 + 3 + 3 + 3 = 12).

Simplify:

(a3)2

a32

a5

a6

Simplify:

(a3)3

a27

a9

a6

Simplify:

(b3)2

b9

b32

b6

Simplify:

(b4)2

b8

b16

b6

Simplify:

(c2)4

c8

c16

c6

Simplify:

(c2)5

c7

c10

c32

Simplify:

(c3)5

c8

c10

c15

Simplify:

(p3)7

p10

p-4

p21

Simplify:

(p2)9

p11

p18

p7

Simplify:

(y4)8

y32

y12

y48

• Question 1

Simplify:

(a3)2

a6
EDDIE SAYS
(a3)2 = a3 × a3
• Question 2

Simplify:

(a3)3

a9
EDDIE SAYS
(a3)3 = a3 × a3 × a3 Add the indices.Add the indices.
• Question 3

Simplify:

(b3)2

b6
EDDIE SAYS
(b3)2 = b3 × b3
• Question 4

Simplify:

(b4)2

b8
EDDIE SAYS
(b4)2 = b4 × b4
• Question 5

Simplify:

(c2)4

c8
EDDIE SAYS
(c2)4 = c2 × c2 x c2 × c2 Add the indices.
• Question 6

Simplify:

(c2)5

c10
EDDIE SAYS
(c2)4 = c2 × c2 x c2 × c2 × c2 Add the indices.
• Question 7

Simplify:

(c3)5

c15
EDDIE SAYS
(c3)5 = c3 × c3 x c3 × c3 × c3 Add the indices.
• Question 8

Simplify:

(p3)7

p21
EDDIE SAYS
(p3)7 = p3 × p3 × p3× p3 × p3× p3× p3 Add the indices.
• Question 9

Simplify:

(p2)9

p18
EDDIE SAYS
(p3)9 = p2 × p2 × p2× p2 × p2× p2× p2× p2× p2 Add the indices.
• Question 10

Simplify:

(y4)8

y32
EDDIE SAYS
(y4)8 = y4 × y4 × y4 × y4 × y4 × y4 × y4 × y4 Add the indices.
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