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Worksheets

Functions, Transformations, Properties of Exponents, Rational and Irrational Numbers, Scientific Notation

Total questions: 23

Worksheet time: 19mins

Name
Class
Date
1.

simplify 5x3 ⋅2x2

a)

10x5

b)

3x

c)

10x6

d)

7x5

2.

Simplify to an equivalent expression in exponent form.

43⋅45

a)

48

b)

168

c)

415

d)

1615

3.

simplify 7-2

a)

1/49

b)

-49

c)

-14

d)

1/14

4.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
5.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
6.

simplify the expression (53x2y4)0

a)

5xy

b)

1

c)

0

d)

5

7.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
8.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
9.
Convert to a decimal
           1/8
a)
.25
b)
.125
c)
.55....
d)
.18888...
10.

Find the missing exponent r31/r ? = r17

a)

14

b)

4

c)

-14

d)

48

11.

Find the product. Write the answer using positive exponent

85 ⋅ 8-6

a)

1/8

b)

6430

c)

1/64

d)

1/16

12.

write the mixed number as a decimal -2 ⅝

a)

-1.6

b)

1.6

c)

-2.625

d)

0.625

13.

Which expression is equivalent to 47×4-5?

a)

412

b)

42

c)

4-2

d)

4-35

14.

Which number is equivalent to 34/32?

a)

2

b)

9

c)

81

d)

729

15.

Simplify the following expression and choose the correct result.

​ (w8)8

a)

w8

b)

w16

c)

w64

d)

w9

16.

Which of the following is equivalent to 0.13¯?

a)

1/8

b)

13/100

c)

1/3

d)

13/99

17.

Classify the number 7/9 as rational or irrational number.

a)

Rational

b)

Irrational

18.

Classify the number as rational or irrational number. π\pi  

a)

Rational

b)

Irrational

19.

Classify the number 12.345345... as rational or irrational number.

a)

Rational

b)

Irrational

20.

Which expression is equivalent to (52)4•55?

a)

511

b)

513

c)

530

d)

540

21.

For each example check the correct Exponent Law/Rule.

(a3)2=a6

a)

Product of a Power

b)

Power of a Power

c)

Power of a Product

22.

For each example check the correct Exponent Law/Rule.

a-3 x a8 = a5

a)

Product of a Power

b)

Power of a Power

c)

Power of a Product

23.

Which of the following expressions are equivalent to

1/5 x 1/5 x 1/5 x 1/5?

a)

(5-4)0

b)

(5-2)2

c)

(5-4)4

d)

None of the above