Question

Help a girl out ?
i linked the attachment .Thank you smmm have a great day.

Answer 1

The expression that equivalent to
`(12x^(4))/(4x^(16))` is 3
`x^(4-16)` ⇒ C

Explanation:

Let us revise some rule of exponents

• 
  `a^(m)` ×
  `a^(n)` =
  `a^(m+n)`

• 
  `(a^(m))/(a^(n))` =
  `a^(m-n)`

• 
  `(a^(m))^(n)` =
  `a^(mn)`

Let us solve the question

∵ The expression is
`(12x^(4))/(4x^(16))`

→ Simplify the fraction 12/4 first

∵ 12/4 = 3

∴
`(12x^(4))/(4x^(16))` = 3 (
`(x^(4))/(x^(16))`)

→ By using the second rule above to simplify the variable

∵
`(x^(4))/(x^(16))` =
`x^(4-16)`

∴
`(12x^(4))/(4x^(16))` = 3
`x^(4-16)`

∴ The expression that equivalent to
`(12x^(4))/(4x^(16))` is 3
`x^(4-16)`