Question

The Value of $\frac{(5{)}^{0.25}\times (125{)}^{0.25}}{{256}^{0.10}\times (256{)}^{0.15}}$ is

• A. $\frac{\sqrt{5}}{2}$
• B. $\frac{5}{4}$
• C. $\frac{25}{2}$
• D. $\frac{25}{16}$

Answer 1

The correct option is B $\frac{5}{4}$

$\frac{(5{)}^{0.25}\times (125{)}^{0.25}}{{256}^{0.10}\times (256{)}^{0.15}}=\frac{(5{)}^{0.25}\times (5^3{)}^{0.25}}{(256{)}^{0.10+0.15}}$
$=\frac{(5{)}^{0.25+.075}}{(256{)}^{0.25}}$
$=\frac{5^1}{(2^8{)}^{\frac{1}{4}}}$
$=\frac{5}{4}$
Option B is correct.