Edexcel IGCSE Math A 1.4.C index notation and laws with powers

Practise index-law questions by combining same-base powers, using zero or negative indices and rewriting expressions as one power.

Exam points

Combine powers with the same base to find an unknown index such as n or k.
Use zero and negative powers correctly in expressions such as 5^0 or 8^-2.
Rewrite products, quotients and square-root powers as one power of a given base.

[Maximum number: 2]

$12 P=3^{3} \times 5^{2} \times 7$

Q=3^{2} \times 5 \times 7^{2}

Work out the value of $P^{3} \times Q$

Give your answer in the form $3^{x} \times 5^{y} \times 7^{z}$ where x, y and z are positive integers.

$P^{3}Q=3^{11}\times5^{7}\times7^{5}$

Final answer:
$3^{11}\times5^{7}\times7^{5}$

B1 for an answer in the form $3^{p}\times5^{q}\times7^{r}$ where one or two exponents are correct.

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1.4.C Index notation and index laws question 1