sophia2509
sophia2509 sophia2509
  • 21-05-2022
  • Mathematics
contestada

heyyyy could u help me find the value of 3^-3 × 10^-3 ? tyyyyy ​

Respuesta :

JonHenderson55
JonHenderson55 JonHenderson55
  • 21-05-2022

Answer:  [tex]\frac{1}{27,000}[/tex]  ;

Step-by-step explanation:

Note the following properties of exponents:

  [tex]a^{-b} = \frac{1}{a^b}[/tex] ;  {a≠ 0} .

____________________
[tex]3^-^3 =\frac{1}{3*3*3}=\frac{1}{27}[/tex] ; and:

[tex]10^{-3} = \frac{1}{10^{3}} = \frac{1}{10*10*10} = \frac{1}{1000}[/tex]  ;

So:  [tex]\frac{1}{27} *\frac{1}{1000} = \frac{1}{27*1000}[/tex]  =   [tex]\frac{1}{27,000}[/tex] →  which is the answer!

Hope you find this helpful!  Best wishes!

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