MerritP541413 MerritP541413
  • 26-10-2022
  • Mathematics
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laws of exponent : multiplication  and power to a power simplify

laws of exponent multiplication and power to a power simplify class=

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SuleimanF698443 SuleimanF698443
  • 26-10-2022
[tex](4r^4s^{-2})(-3rs^{-3})(rs)[/tex]

the whole expression is a multiplication

we must group what we can multiply

[tex](4\times-3)(r^4\times r\times r)(s^{-2}\times s^{-3}\times s)[/tex]

when multiply equal terms the exponents are added

so

[tex](-12)(r^{4+1+1})(s^{-2+(-3)+1})[/tex]

do the sum and the final expression is

[tex]-12r^6s^{-4}[/tex]

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