Practice Test Discussion

$27^{15} \times 27^{3 .5} {=27}^{?}$

[Syndicate Bank (PO), 2004]

None of these

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 27^{1.5} \times 27^{3 .5} {=27}^{?} \\ [∵ m^{x} \times m^{y} = m^{x + y}] \\ \Rightarrow 27^{5} = 27^{?} \\ \Rightarrow ? = 5 \end{array}$

Hence, Option E is correct.

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