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Rational Irrational Exponents Review

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

(y9)-2

a)

y18

b)

y11

c)

1/y18

d)

y9/2

2.
a)
49
b)
444
c)
421
d)
415
3.
a)
x12
b)
x-12
c)
x2
d)
x-2
4.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

5.

Rewrite

a35\sqrt[5]{a^3}

using rational exponents

6.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

7.

We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?

a)

Irrational Numbers

b)

Rational Numbers

c)

Integers

d)

Natural Numbers

8.

Simplify the expression using exponents.

a)

818

b)

915

c)

98

d)

8115

9.

Using exponents, what is the simplified form of the expression (24)7

a)

23

b)

1428

c)

228

d)

211

10.

What is the value of 180?

a)

18

b)

0

c)

1

d)

-18

11.

How do you write 8.7 x 10-1 in standard form?

a)

0.87

b)

8.7

c)

87

d)

0.087

12.

Which number is equivalent to 5-1?

a)
b)
c)
d)
13.

Using exponents, what is the simplified form of this expression?

a)

59

b)

15

c)

514

d)

55

14.

Simplify using your exponent rule(s) (53x2y4)0

a)

5xy

b)

1

c)

0

d)

5

15.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

16.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

17.
a)

A

b)

B

c)

C

d)

D

18.
a)

A

b)

B

c)

C

d)

D

19.
a)

A

b)

B

c)

C

d)

D

20.

Simplify

a)

A

b)

B

c)

C

d)

D