Question

Which expression is equivalent to
min
pg?
mºn
po
m2

Answer 1

The expression equivalent to
`((m^(5)n)/(pq^(2)))^(4)` is
`(m^(20)n^(4))/(p^(4)q^(8))` ⇒ C

Explanation:

Let us use the exponent rule
`(a^(m))^(n)` =
`a^(m.n)`

∵ The expression is
`((m^(5)n)/(pq^(2)))^(4)`

→ By using the rule above multiply the power of each letter by 4

∵
`(m^(5))^(4)` =
`m^(20)`

∵
`(n^(1))^(4)` =
`n^(4)`

∵
`(p^(1))^(4)` =
`p^(4)`

∵
`(q^(2))^(4)` =
`q^(8)`

→ Substitute them in the expression above

∴
`((m^(5)n)/(pq^(2)))^(4)` =
`(m^(20)n^(4))/(p^(4)q^(8))`

∴ The expression equivalent to
`((m^(5)n)/(pq^(2)))^(4)` is
`(m^(20)n^(4))/(p^(4)q^(8))`