The value of (256)5/4 is · ABC26GN1905

Subject: General Aptitude · Chapter: Surds and Indices

The value of $(256)^{\frac{5}{4}}$ is

(a)512

(b)984

(c)1024

(d)1032

Answer

Answer (as printed): C

Explanation

$(256)^{\frac{5}{4}}=\left(4^{4}\right)^{\frac{5}{4}}=4^{\left(4 \times \frac{5}{4}\right)}=4^{5}=1024.$

Explanation as extracted from the printed page; notation may be imperfect.

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