Question

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

Answer 1

Answer:

The expression that equivalent to  $\frac{12x^{4}}{4x^{16}}$  is 3$x^{4-16}$ ⇒ C

Step-by-step explanation:

Let us revise some rule of exponents

• $a^{m}$ × $a^{n}$ = $a^{m+n}$

• $\frac{a^{m}}{a^{n}}$ =  $a^{m-n}$

• $(a^{m})^{n}$ = $a^{mn}$

Let us solve the question

∵ The expression is $\frac{12x^{4}}{4x^{16}}$

→ Simplify the fraction 12/4 first

∵ 12/4 = 3

∴  $\frac{12x^{4}}{4x^{16}}$ = 3 ( $\frac{x^{4}}{x^{16}}$)

→ By using the second rule above to simplify the variable

∵  $\frac{x^{4}}{x^{16}}$ = $x^{4-16}$

∴  $\frac{12x^{4}}{4x^{16}}$ = 3$x^{4-16}$

∴ The expression that equivalent to  $\frac{12x^{4}}{4x^{16}}$  is 3$x^{4-16}$