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1.02 Review: Exponent notation and perfect squares

Worksheet
Exponential form
1

State the base for the expression 2^{9}.

2

State the exponent for the expression 10^{6}.

3

Write the following in exponential form with base 9:

a

9 \times 9

b

9 \times 9 \times 9

c

9 \times 9 \times 9 \times 9

d

9 \times 9 \times 9 \times 9 \times 9

4

Write the following in exponential form:

a

5 \times 5 \times 5

b

4 \times 4 \times 4 \times 4 \times 4

c

(-9) \times (-9) \times (-9) \times (-9)

d

12 \times 12 \times 9 \times 9 \times 9

e

(-13) \times (-13) \times (-13) \times (-13) \times 5 \times 5

f

11 \times 7 \times 11 \times 7 \times 7

g

3 \times (-4) \times 3 \times 3 \times (-4)

h

(-6) \times (-2) \times (-6) \times (-6) \times (-2)

5

Write two squared in exponential form.

6

Evaluate:

a
5^{2}
b
8^{2}
c
12^{2}
d
13^{2}
e
2^{6}
f
(-3)^{4}
g
3^{2} \times 3^{4}
h
2^{2} \times 4^{2}
7

Explain how to evaluate 2^{4}.

Expanded form
8

Write the following in expanded form:

a

5^{2}

b

5^{3}

c

5^{4}

d

5^{5}

e

10^{2}

f

7^{3}

g

6^{1}

h

8^{4}

9

Complete the table below:

WordsExpanded formExponential form
Six to the power of four
Eight cubed
Eleven to the power of three
Twenty three to the power of five
Seven squared
Fifteen to the power of four
10

Write the following numbers in expanded form:

a

5^{4} \times 9^{6}

b

4^{3} \times 8^{2}

c

66^{3} \times 92^{4}

d

7^{5} \times 6^{4}

e

4^{6} \times 9^{2}

f

77^{5} \times 13^{2}

g

47^{1} \times 62^{4}

h

91^{2} \times 82^{2}

11
a

Write 3^{4} in expanded form.

b

Now, evaluate 3^{4}.

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