4MA0 Higher January 2012 Paper 4 Q21

EdexcelHigherOld spec4 marksIndices

(a) Simplify \((16y^8)^{\frac{3}{4}}\) (2)

(b) Given that \(2^p \times 8^q = 2^n\)
express \(n\) in terms of \(p\) and \(q\). (2)

Mark scheme (a)

Scheme	Marks
\(8y^6\)	B2
	(2)

Notes

B2: B1 for 8 B1 for \(y^6\)

Apart from Questions 3, 13(b) and 17(f) (where the mark scheme states otherwise), the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.

Scheme	Marks
\(2^p \times (2^3)^q = 2^p \times 2^{3q} = 2^{p+3q}\) Answer: \(p + 3q\)	B2
	(2)
	(Total 4 marks)