Edexcel IGCSE Math A 2.1.D Index Laws

Practise multiplying, dividing and raising powers by applying index laws to numerical and algebraic expressions.

Exam points

add indices when multiplying powers with the same base and subtract when dividing
multiply indices when raising a power to another power
apply the outside power to coefficients and every variable inside a bracket

[Maximum number: 2]

Simplify $\left(3 x^{2} y^{5}\right)^{3}$

$(3x^{2}y^{5})^{3}=3^{3}x^{6}y^{15}$

Final answer:
$27x^{6}y^{15}$

B1 for any two correct terms in the product.

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