# Worksheet: Laws of Exponents

In this worksheet, we will practice applying the laws of exponents to multiply and divide powers and work out a power raised to a power.

Q1:

Which of the following is true?

• A
• B
• C

Q2:

Which of the following is true?

• A
• B
• C

Q3:

Which of the following is true?

• A
• B
• C

Q4:

Calculate .

Q5:

Calculate .

Q6:

Calculate .

Q7:

Fill in the blanks: .

Q8:

Calculate .

Q9:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q10:

Which of the following expressions has the same value as ?

• A
• B
• C
• D
• E

Q11:

Which of the following has the same value as ?

• A
• B
• C
• D
• E

Q12:

Which of the following expressions has the same value as ?

• A
• B
• C
• D
• E

Q13:

• A
• B
• C
• D

Q14:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q15:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q16:

Which of the following has the same value as ?

• A
• B
• C
• D
• E

Q17:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q18:

• A
• B
• C
• D
• E

Q19:

Which of the following has the same value as ?

• A
• B
• C
• D
• E

Q20:

Find the value of , giving your answer in its simplest form.

• A
• B
• C
• D

Q21:

Given that , determine .

Q22:

Which of the following is equal to ?

• A
• B
• C
• D

Q23:

Fill in the blank: .

• A
• B
• C
• D
• E

Q24:

Fill in the blanks: .

Q25:

Calculate .

• A64
• B4
• C
• D