Answer:
Correct Answer: 512
Step-by-step explanation:
[tex]8^7[/tex] · [tex]8^{-4}[/tex] · [tex]4^0[/tex]
Multiply [tex]8^7[/tex] by [tex]8^-4[/tex] by adding the exponents.
Use the power rule [tex]a^m a^n=a^{m+n}[/tex] to combine exponents.
[tex]8^{7-4}[/tex] · [tex]4^0[/tex]
subtract 4 from 7
[tex]8^{3}[/tex] · [tex]4^0[/tex]
Simplify [tex]8^{3}[/tex] · [tex]4^0[/tex] ←
[tex]8^{3}[/tex] · 1 ←
Raise 8 to the power of 3
512
Sabastien didn't simplify correctly, he Raised 4 to the power of 0 and turned the 1 into 0. which was incorrect. where the outcome should've been 1.
