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CAIE IGCSE Mathematics C1.7 Indices I Question Bank

Practise evaluating powers and applying index laws to rewrite expressions, including zero and negative integer indices.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Core

Exam points

  • evaluate zero and negative powers as 1, fractions or decimals when asked for a value
  • use index laws to combine powers with the same base and solve for an unknown exponent
  • rewrite products and quotients in the form a^n, including powers of 3 or 10

Covered syllabus points

C1.7.1 Understand and use indices (positive, zero and negative integers).C1.7.2 Understand and use the rules of indices

C1.7 Indices I question 1

[Maximum number: 2]

Question (a)

(a)

Find the value of

[ 1 ]

Question (i)

(i)

606^{0}

[ 1 ]

Question (b)

(b)

35×3x=3203^{5} \times 3^{x}=3^{20}

Find the value of x.
x=

[ 1 ]
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