Worksheet: Simplifying Exponential Expressions

In this worksheet, we will practice simplifying numerical and algebraic expressions using exponentials and knowing the notation used for exponential expressions.

Q1:

Write 7 × 7 × 7 × 7 in exponential form.

  • A 4
  • B 7
  • C 7 × 4
  • D 4 × 7
  • E 7 × 7 × 7 × 7

Q2:

Write 3 in expanded form.

  • A 3 × 4
  • B 4 + 4 + 4
  • C 3 + 3 + 3 + 3
  • D 3 × 3 × 3 × 3
  • E 4 × 4 × 4

Q3:

What is the exponent in 6 ?

Q4:

Calculate 4 5 × 4 5 .

  • A 4 5
  • B 4 5
  • C 4 2 5
  • D 1 6 2 5
  • E 4 5

Q5:

Write 7 7 7 7 𝑎 𝑎 2 2 2 2 2 𝑏 𝑏 𝑏 using exponents.

  • A 7 𝑎 2 𝑏
  • B 7 𝑎 2 𝑏
  • C 7 𝑎 2 𝑏
  • D 7 𝑎 2 𝑏
  • E 7 𝑎 2 𝑏

Q6:

Is the following correct: 2 = 2 × 4 ?

  • A yes
  • B no

Q7:

Write 4 × 9 × 4 × 9 in the form 𝑎 𝑏 , where 𝑎 and 𝑏 are prime numbers.

  • A 2 × 3
  • B 4 × 3
  • C 2 × 3
  • D 2 × 9

Q8:

Write 3 4 3 × 3 × 3 4 3 × 3 in the form 𝑎 𝑏 where 𝑎 and 𝑏 are prime numbers.

  • A 7 × 3
  • B 7 × 3
  • C 3 4 3 × 3
  • D 3 4 3 × 3

Q9:

Which of the following is equal to 2 + 2 ?

  • A 2 × 2
  • B 2
  • C 3 × 2
  • D 2
  • E 3 × 2

Q10:

Calculate 1 3 1 3 .

  • A 2 7 2 9
  • B 2 7 2 9
  • C 4 7 2 9
  • D 4 7 2 9

Q11:

Calculate 6 + 6 + 6 + 6 + 6 + 6 .

  • A 6
  • B 3 6
  • C 6
  • D 6

Q12:

What is 2 + 4 ?

  • A 2
  • B 4
  • C 4
  • D 4
  • E 6

Q13:

Which of the following is equal to 2 2 ?

  • A2
  • B 2
  • C 2,209
  • D 2,210
  • E 2

Q14:

Simplify ( 2 5 ) × ( 8 ) ( 1 0 0 ) × 1 0 0 .

  • A320
  • B 5 1 6
  • C 1 6 5
  • D 1 3 2 0

Q15:

Determine the simplest form of ( 1 6 ) × 2 7 ( 1 4 4 ) × 8 1 .

  • A 1 3
  • B27
  • C 1 2 7
  • D3

Q16:

Simplify ( 3 6 ) × 8 6 × ( 1 2 ) × 1 6 .

  • A864
  • B216
  • C 1 8 6 4
  • D 1 2 1 6

Q17:

Simplify the expression 𝑡 𝑣 𝑡 𝑣 .

  • A 𝑡 𝑣
  • B 𝑡 𝑣
  • C 𝑡 𝑣
  • D 𝑡 𝑣
  • E 𝑡 𝑣

Q18:

Simplify the expression 𝑡 𝑣 𝑡 𝑣 .

  • A 𝑡 𝑣
  • B 𝑡 𝑣
  • C 𝑡 𝑣
  • D 𝑡 𝑣
  • E 𝑡 𝑣

Q19:

Which of the following is equal to 2 1 4 ?

  • A 8 1 6 4
  • B 1 1 2 5 6 4
  • C 6 3 4
  • D 2 7 1 2
  • E 2 3 1 2

Q20:

Which of the following is equal to 3 4 ?

  • A 6 4 2 7
  • B 6 4 2 7
  • C 9 1 2
  • D 2 7 6 4
  • E 2 7 6 4

Q21:

Which of the following is equal to ( 3 ) × ( 3 ) ?

  • A 2 1 8 7
  • B108
  • C 5 3 1 4 4 1
  • D 2 1 8 7
  • E 9

Q22:

Which of the following has the same value as 3 ?

  • A 6
  • B 3
  • C 3
  • D36
  • E 3

Q23:

Simplify 1 3 𝑥 × 4 5 𝑥 .

  • A 4 2 5 𝑥
  • B 4 1 5 𝑥
  • C 1 7 1 5 𝑥
  • D 4 1 5 𝑥
  • E 4 2 5 𝑥

Q24:

Is it true that 3 = 3 ?

  • ANo
  • BYes

Q25:

Which of the following is equal to 1 3 × 1 3 ?

  • A 5 9 0 4 9
  • B27
  • C 1 3
  • D 1 2 1 8 7
  • E 1 9

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