Question

Simplify the following:
$4^4\times {\left(\frac{5}{4}\right)}^4$

• A. $5^4$
• B. $4^4$
• C. $3^4$
• D. None of these

Answer 1

The correct option is A $5^4$

we know,

$(\frac{a}{b}{)}^m=\frac{a^m}{b^m}$

so,

$(\frac{5}{4}{)}^4=\frac{5^4}{4^4}$

so in,

$\frac{4^4\ast 5^4}{4^4}$

$4^4$ cancels

Soln$=5^4$