Mathematics 0580 · IGCSE · Indices II

Indices II — practice question

(a(i))[1]

$7^5\times7^6$

(a(ii))[1]

$7^{15}\div7^5$

(a(iii))[1]

$4^2+7$

(b)[3]

Simplify $(5x^2\times2xy^4)^3$.

(c(i))[2]

Find the highest common factor (HCF) shared by $P$ and $Q$.

(c(ii))[2]

Find the lowest common multiple (LCM) shared by $P$ and $Q$.

(c(iii))[2]

Given that $P\times R$ is a cube number, with $R$ an integer, Find the smallest possible value of $R$.

(d(i))[2]

$x^2-3x-28$

(d(ii))[2]

$7(a+2b)^2+4a(a+2b)$

(e)[4]

Given $3^{2x-1} = \frac{1}{9^x} \times 3^{2y-x}$, Find an expression for $y$ in terms of $x$.

Worked solution & mark scheme

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