Edexcel IGCSE Math A 1.4.HC numerical index laws

Practise higher index-law questions by equating bases, solving for unknown exponents and using fractional or negative powers.

Exam points

Combine powers with the same base to find n in numerical index expressions.
Rewrite numbers as common prime bases before equating indices to solve an unknown.
Apply fractional and negative powers to evaluate n from equations such as n^(-4/5).

[Maximum number: 2]

$7 \quad \frac{3^{-2} \times 3^{5}}{3^{10}}=3^{n}$
Find the value of n

Index calculation:
-2+5-10=-7

Final answer:
n=-7

Allow $3^{-7}$ .

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