PaizlynV600231 PaizlynV600231
  • 25-10-2022
  • Mathematics
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laws exponents multiplication band power to a power simplifymake it small steps please the smallest you canbare minimum of steps

laws exponents multiplication band power to a power simplifymake it small steps please the smallest you canbare minimum of steps class=

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SimritI685706 SimritI685706
  • 25-10-2022

Answer:

[tex](4r^4s^{-2})(-3rs^{-3})(rs)=-12r^6s^{-4}[/tex]

Explanation:

Given the expression:

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

This can be rearranged using law of multiplication (That multiplication is cummutative) to become:

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

This becomes, using the law of exponents:

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

and finally, we have:

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

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