Question

(16)${}^{1.75}$= ?

• A. 64
• B. 64
• C. 128
• D. 128

Answer 1

The correct option is C

128

${\left(16\right)}^{1.75}={\left(2^4\right)}^{\frac{175}{100}}={\left(2^4\right)}^{7/4}=2^{\left(4\times 7/4\right)}=2^7=128$