Higher June 2025 Paper 2R Q6

EdexcelCurrent spec5 marksIndices

(a) Write down the value of \(5^0\) (1)

\(\dfrac{5^9 \times 5^{-3}}{5^{-2}} = 5^k\)

(b) Find the value of \(k\) (2)

Scheme	Marks
1	B1
	(1)

Mark scheme (b)

Scheme	Marks
eg \((5^9 \times 5^{-3} =)\;5^6\) or \((5^9 \div 5^{-2} =)\;5^{11}\) or \((5^{-3} \div 5^{-2} =)\;5^{-1}\) or \((5^k \times 5^{-2} =)\;5^{k - 2}\) or \(9 - 3 = k - 2\) oe or \(9 - 3 - -2\) or \(9 - 3 + 2\)	M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: 8	A1
	(2)

Notes

M1: for one correct application of an index rule (must be seen in powers of 5)
this could be after an initial mistake – working will need to be clearly seen
or
for forming a correct equation in the indices alone
or
for a complete method for the value of \(k\)

A1: condone \(5^8\)

Scheme	Marks
\(8d^{12}e^{15}\)	B2
	(2)
	(5 marks)