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?

  • A17×7>1
  • B17×7<1
  • C17×7=1

Q2:

Which of the following is true?

  • A19×(9)>1
  • B19×(9)<1
  • C19×(9)=1

Q3:

Which of the following is true?

  • A111×(11)>11
  • B111×(11)<11
  • C111×(11)=11

Q4:

Calculate (4)(4)+(3)(3).

Q5:

Calculate 33+(3).

Q6:

Calculate 2+22.

Q7:

Fill in the blanks: (7)(7)8=.

Q8:

Calculate 88+88+88+8.

Q9:

Which of the following is equal to 23×23?

  • A64729
  • B32243
  • C4,096531,441
  • D2454
  • E49

Q10:

Which of the following expressions has the same value as 3313?

  • A1003
  • B1003
  • C1003
  • D1003
  • E1003

Q11:

Which of the following has the same value as 112÷112?

  • A23
  • B32
  • C32
  • D23
  • E24332

Q12:

Which of the following expressions has the same value as 23?

  • A23×23
  • B23
  • C46
  • D23
  • E23

Q13:

Calculate 12÷12÷12, expressing your answer in the simplest form.

  • A12
  • B12
  • C164
  • D14

Q14:

Which of the following is equal to 212×212?

  • A752
  • B3,12532
  • C212
  • D15,62564
  • E2132

Q15:

Which of the following is equal to 112×112?

  • A32243
  • B243
  • C71932
  • D71932
  • E3,1251,024

Q16:

Which of the following has the same value as 13÷13?

  • A19
  • B13
  • C19
  • D13
  • E1

Q17:

Which of the following is equal to 13×13?

  • A19
  • B13
  • C154
  • D13
  • E19

Q18:

Find the value of 43÷89, giving your answer in simplest form.

  • A94
  • B32
  • C2716
  • D2
  • E89

Q19:

Which of the following has the same value as 23÷23?

  • A1
  • B32
  • C49
  • D23
  • E32243

Q20:

Find the value of 23×13÷13, giving your answer in its simplest form.

  • A89
  • B881
  • C86,561
  • D72

Q21:

Given that 6÷6=6, determine 𝑎.

Q22:

Which of the following is equal to 7+7+7+7+7+7+7?

  • A7
  • B49
  • C7
  • D7

Q23:

Fill in the blank: 6×6=.

  • A6
  • B6
  • C6
  • D7
  • E6

Q24:

Fill in the blanks: (2)×(2)=(2).

Q25:

Calculate (2)÷2.

  • A64
  • B4
  • C4
  • D64

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.