TMUA Specimen Paper 1 Q16 — Worked Solution

P1·Indices, Logarithms & Exponentials·6.5Specimen · P1 · Q16

prime-factorisationindex-lawsinteger-conditions

Given that

c

and

d

are non-zero integers, the expression

\frac{1 0 ^{c - 2 d} \times 2 0 ^{2 c + d}}{8 ^{c} \times 12 5 ^{c + d}}

is an integer if

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