Javier simplified the expression below. Find and describe the three mistakes he made.
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Answer:
Answer:1.Javier did not write the coefficient raised to power of 32.Javier wrote [tex]x^4[/tex] instead of [tex]x^3[/tex]3.Javier did divide exponents instead of subtraction of exponentsStep-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 32.Javier wrote [tex]x^4[/tex]instead of[tex]x^3[/tex]3.Javier did divide exponents instead of subtraction of exponents.
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