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Worksheets

Laws of Exponents

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Simplify the expression, 2x3 (xy)4

a)

6x4y4

b)

2x4y4

c)

6x7y4

d)

2x7y4

2.

Which expression demonstrates the rule used to simplify the expression shown?

a)

d-4+5

b)

d-4-5

c)

d5-4

d)

d5+4

3.

Which is a correct symbolic representation for multiplying exponential expressions with the same base, y?

a)

ymyn = ym + n

b)

ymyn = ym - n

c)

ymyn = ym · n

d)

ymyn = ym ÷ n

4.

Which is a correct symbolic representation for dividing exponential expressions with the same base, y?

a)

ym/yn = ym + n

b)

ym/yn = ym - n

c)

ym/yn = ym · n

d)

ym/yn = ym ÷ n

5.

A student's incorrect attempt to simplify the exponential expression is shown.

m2n5 = (mn)7

What is his mistake?

a)

He should have subtracted the exponents.

b)

He should have multiplied the exponents.

c)

He should have divided the exponents.

d)

The expression cannot be further simplified because the bases are different.

6.

When multiplying exponential terms with the same base, which best explains how to simplify the expression?

a)

Add the exponents.

b)

Subtract the exponents.

c)

Multiply the exponents.

d)

Divide the exponents.

7.

When dividing exponential terms with the same base, which best explains how to simplify the expression?

a)

Add the exponents.

b)

Subtract the exponents.

c)

Multiply the exponents.

d)

Divide the exponents.

8.

Which is an equivalent expression for 6 2 x 6 -5

a)

6 -7

b)

6 7

c)

6 -3

d)

6 3

9.

If (33)n x 32 = 317, what is the value of n ?

a)

2

b)

12

c)

5

d)

4

10.

When simplified, which choice is equivalent to the expression given?

a)
b)
c)
d)