Answer:
1.Javier did not write the coefficient raised to power of 3
2.Javier wrote [tex]x^4[/tex] instead of [tex]x^3[/tex]
3.Javier did divide exponents instead of subtraction of exponents
Step-by-step explanation:
We are given that Javier simplified the expression
[tex](\frac{20x}{5x^8})^{-3}[/tex]
We have to find three mistakes made by Javier.
[tex](\frac{20x}{5x^8})^{-3}[/tex]
[tex]\frac{(20x)^{-3}}{(5x^8)^{-3}}[/tex]
[tex]\frac{(5x^8)^3}{(20x)^3}[/tex]
By using property;[tex]a^{-x}=\frac{1}{a^x}[/tex]
[tex]\frac{125x^{24}}{8000x^3}[/tex]
By using property:[tex](ab)^x=a^xb^x[/tex]
[tex](a^x)^y=a^{xy}[/tex]
[tex]\frac{1}{64}x^{24-3}[/tex]
By using property[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]
[tex]\frac{1}{64}x^{21}[/tex]
Javier made three mistakes are given below:
1.Javier did not write the coefficient raised to power of 3
2.Javier wrote [tex]x^4[/tex]instead of[tex]x^3[/tex]
3.Javier did divide exponents instead of subtraction of exponents.
