GCSE · Indices

Zero and negative indicesExam-style questions

Why anything to the power zero is 1 (not 0), why a negative index means a reciprocal (not a negative number), and why a fraction raised to a negative power flips.

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15 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Solve $4^x = \dfrac{1}{8}$
Level 5 · 3 marksTry it
2
$\left(x^{2} - 7x + 11\right)^{x^{2} - 13x + 42} = 1$

How many integer values of $x$ satisfy this equation?
Level 5 · 4 marksTry it