CAIE IGCSE Mathematics Applying Index Laws

Practise multiplying, dividing and raising indexed algebraic terms to powers and solving equations with matching bases and unknown exponents.

Exam points

add exponents when multiplying like bases and subtract exponents when dividing them
multiply exponents for a power raised to a power and apply the power to each bracket factor
rewrite both sides with the same base and equate exponents to solve a missing index

[Maximum number: 1]

Simplify $\left(x^{4}\right)^{3}$ .

$x^{12}$

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