Worksheet: Simplifying Exponential Expressions

In this worksheet, we will practice simplifying exponential expressions.

Q1:

Write 343×3×343×3 in the form 𝑎𝑏 where 𝑎 and 𝑏 are prime numbers.

  • A343×3
  • B7×3
  • C343×3
  • D7×3

Q2:

Simplify (25)×(8)(100)×100.

  • A516
  • B1320
  • C320
  • D165

Q3:

Determine the simplest form of (16)×27(144)×81.

  • A127
  • B3
  • C13
  • D27

Q4:

Simplify (36)×86×(12)×16.

  • A864
  • B216
  • C1216
  • D1864

Q5:

Simplify 4×252×50.

  • A4
  • B256
  • C1256
  • D14

Q6:

What is the value of 22÷2?

Q7:

Simplify 45×(63)×3225×(21).

  • A3
  • B3
  • C3
  • D9

Q8:

Simplify 2×302×6×5.

  • A6,9125
  • B5216
  • C56,912
  • D2165

Q9:

Find the value of 𝑎 for which 22=𝑎×2.

Q10:

Simplify 6×6×6×6×6×66+6+6+6+6+6.

  • A6
  • B6
  • C6
  • D6
  • E6

Q11:

Simplify 125×2525×5.

  • A150
  • B1150
  • C3,125
  • D13,125

Q12:

Simplify 4×4(4)×16.

Q13:

Simplify 𝑎+𝑎+𝑎𝑎+𝑎+𝑎.

  • A𝑎
  • B𝑎
  • C1
  • D𝑎
  • E𝑎𝑥

Q14:

Calculate 7×59×53×55, giving your answer in its simplest form.

  • A1097
  • B53
  • C514
  • D5
  • E2183

Q15:

Simplify 2×36 and evaluate this expression when 𝑥=2.

  • A2×3, 12
  • B2×3, 54
  • C2×3, 12
  • D2×3, 54
  • E2×3, 54

Q16:

Simplify 6×954.

Q17:

Simplify 256×1664×64.

  • A1128
  • B18
  • C12,048
  • D12

Q18:

What is the value of 2×48?

Q19:

Simplify 15×273×5, and evaluate this expression when 𝑛=2.

  • A3, 19
  • B3, 1
  • C3, 181
  • D3, 9

Q20:

Simplify 𝑥𝑦𝑥𝑦()()().

  • A𝑥𝑦
  • B𝑥𝑦
  • C(𝑥𝑦)
  • D𝑥𝑦
  • E𝑥𝑦

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