Question

20⁵.5¹⁰/100⁵=?

Answer 1

\(\frac{20^5.5^{10}}{100^5}=\frac{20^5.25^5}{100^5}=\frac{\left(20.25\right)^5}{100^5}=\frac{500^5}{100^5}=5^5\)

Answer 2

\(\frac{20^5.5^{10}}{100^5}=\frac{20^5.\left(5^2\right)^5}{100^5}=\frac{20^5.25^5}{100^5}=\frac{\left(20.25\right)^5}{100^5}=\frac{500^5}{100^5}=\frac{\left(100.5\right)^5}{100^5}=\frac{100^5.5^5}{100^5}=5^5=3125\)

Answer 3

20⁵.5¹⁰100⁵ =20⁵.(5²)⁵100⁵ =20⁵.25⁵100⁵ =(20.25)⁵100⁵ =500⁵100⁵ =(100.5)⁵100⁵ =100⁵.5⁵100⁵ =5⁵=3125