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Algebra Difficulty 1.0 Junior Find the answer United Kingdom

What is the value of $\dfrac{4^{800}}{8^{400}}$ ?

(A) $\frac{1}{2^{400}}$ (B) $\frac{1}{2^{200}}$ (C) $1$ (D) $2^{200}$ (E) $2^{400}$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.