Question

 ^{\(\frac{20^5.5^{20}}{100^5}\)}

Answer 1

\(\frac{20^5.5^{20}}{100^5}=\frac{20^5.5^5.5^{15}}{100^5}=\frac{\left(20.5\right)^5.5^{15}}{100^5}=\frac{100^5.5^{15}}{100^5}=5^{15}\)

Answer 2

20⁵.5²⁰/100⁵

= 4⁵.5⁵.5²⁰/4⁵.25⁵

= 4⁵.5²⁵/4⁵.(5²)⁵

= 4⁵.5²⁵/4⁵.5¹⁰

= 5¹⁵

Answer 3

\(\frac{20^5.5^{20}}{100^5}\)

\(=\frac{20^5.5^5.5^{15}}{100^5}\)

\(=\frac{100^5.5^{15}}{100^5}\)

\(=5^{15}\)

Answer 4

\(\frac{20^5.5^{20}}{100^5}\)

= \(\frac{\left(5.4\right)^5.5^{20}}{\left(4.25\right)^5}\)

= \(\frac{5^5.4^5.5^{20}}{4^5.\left(5^2\right)^5}\)

= \(\frac{5^5.4^5.5^{20}}{4^5.5^{10}}\)

= \(5^{15}\)