Calculate \(\sqrt[3]{{\frac{p}{q}}}\). Give your full calculator display.

Write down your answer to part (a) correct to two decimal places;

Write down your answer to part (a) correct to three significant figures.

Write your answer to part (b)(ii) in the form \(a \times {10^k}\), where \(1 \leqslant a < 10,{\text{ }}k \in \mathbb{Z}\).

\(\sqrt[3]{{\frac{{2.78 \times {{10}^{11}}}}{{3.12 \times {{10}^{ - 3}}}}}}\)\(\,\,\,\)OR\(\,\,\,\)\(\sqrt[3]{{8.91025 \ldots  \times {{10}^{13}}}}\)     (M1)

Note:     Award (M1) for correct substitution into given expression.

44664.59503     (A1)     (C2)

Note:     Award (A1) for a correct answer with at least 8 digits.

Accept 44664.5950301.

[2 marks]

44664.60     (A1)(ft)     (C1)

Note:     For a follow through mark, the answer to part (a) must be to at least 3 decimal places.

[1 mark]

44700     (A1)(ft)     (C1)

Notes:     Answer to part (a) must be to at least 4 significant figures.

Accept any equivalent notation which is correct to 3 significant figures.

For example \(447 \times {10^2}\) or \(44.7 \times {10^3}\).

Follow through from part (a).

[1 mark]

\(4.47 \times {10^4}\)     (A1)(ft)(A1)(ft)     (C2)

Notes:     Award (A1)(ft) for 4.47 and (A1)(ft) for \({10^4}\).

Award (A0)(A0) for answers such as \(44.7 \times {10^3}\).

Follow through from part (b)(ii) only.

[2 marks]