Q:

Tuna simplified the expression 3x^3/12x^-2 to x/4 what was tryna mistake?She divided the coefficients incorrectly. She added the exponents instead of subtracting them. She divided the coefficients instead of subtracting them. She subtracted the exponents instead of divided them.

Accepted Solution

A:
Answer:She added the exponents instead of subtracting them.Step-by-step explanation:She was to simplify:[tex]\frac{3x^3}{12x^-^2}[/tex]Dividing the numerator with 3 and the denominator with three gives:[tex]\frac{x^3}{4x^-^2}[/tex]Then, x³ ÷ [tex]x^{-2}[/tex] would be [tex]x^{3 - -2}[/tex] = [tex]x^{5}[/tex](Where there is division; we are supposed to subtract the exponents.)So the final answer would be: [tex]\frac{x^5}{4}[/tex]