Edexcel IGCSE Math A Higher 2.1 Ha Index Notation Involving Fractional Negative and Zero Questions

Practise simplifying numerical and algebraic powers with fractional, negative and zero indices, giving a complete final form.

Exam points

convert fractional indices into roots before evaluating coefficients and powers
rewrite negative indices as reciprocals and finish with positive powers where required
apply a bracketed power to every numerical and algebraic factor

[Maximum number: 2]

Simplify fully $\left(16 x^{8} y^{6}\right)^{\frac{1}{2}}$

\left(16x^8y^6\right)^{\frac12}=4x^4y^3

Final answer:

4x^4y^3

B1 for 2 correct terms of the 3 in a product.

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