WAEC 2023 · Paper 1 · Q3

Indices & standard form

Solve $2^{5x} \div 2^x = \sqrt[5]{2^{10}}$ .

Worked solution (try it first)

Dividing powers of 2, subtract the indices: $2^{5x} \div 2^x = 2^{4x}$ .
A fifth root divides the index by 5: $\sqrt[5]{2^{10}} = 2^2$ .
So $4x = 2$ and $x = \frac12$ , option C.

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