Question

Find the value of ${(-2)}^4\times {\left(\frac{5}{2}\right)}^4$

• A. $-625$
• B. $625$
• C. $10000$
• D. $2500$

Answer 1

The correct option is B $625$

${(-2)}^4\times {\left(\frac{5}{2}\right)}^4={\left(2\right)}^4\times \frac{{\left(5\right)}^4}{{\left(2\right)}^4}(\because {(-2)}^4={\left(2\right)}^4)$
$=5^4=625$

Hence, option $B$ is correct.