PaytinA603278 PaytinA603278
  • 25-10-2022
  • Mathematics
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Simplify the expression. Write your answer as a power.(-8.3)8 (-8.3)4(-8.3)? (-8.3)3The simplified expression is

Simplify the expression Write your answer as a power838 83483 833The simplified expression is class=

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JakarriK332992 JakarriK332992
  • 25-10-2022

[tex]\frac{(-8.3)^8}{(-8.3)^7}\cdot\frac{(-8.3)^4}{(-8.3)^3}[/tex]

This will be simplified with this law of indices

[tex]\frac{a^e}{a^y}=a^{e-y}[/tex][tex]\begin{gathered} \text{Therefore the initial question becomes:} \\ ((-8.3)^{8-7})\text{ }\cdot\text{ (}(-8.3)^{4-3}) \end{gathered}[/tex][tex]\begin{gathered} (-8.3)^1\cdot(-8.3)^1 \\ (-8.3)^{1+1} \\ (-8.3)^2 \\ \end{gathered}[/tex]

Going further, we can simplify to:

[tex]\begin{gathered} (-8.3)\times(-8.3) \\ =68.89 \end{gathered}[/tex]

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