Question

$125^ {\frac{2}{3}}\times 625^ {\frac{-1}{4}} =?$

• A. 2
• B. 1
• C. 5
• D. 25

Answer 1

Answer:

C. 5

$125^ {\frac{2}{3}}\times 625^ {\frac{-1}{4}}$

$=(5^3)^{2/3}\times(5^4)^{-1/4}$

$=5^2\times5^{-1}$

$=5^{2-1}$

$=5$