ElRexyBoi ElRexyBoi
  • 12-03-2020
  • Mathematics
contestada


[tex]( \frac{1}{5} ) {}^{x} = 125[/tex]


​

Respuesta :

nonsibi
nonsibi nonsibi
  • 12-03-2020

Well we know that...[tex]a^{-1}=\frac{1}{a^{1} }\\[/tex].

So...[tex](\frac{1}{5})^{-1}=\frac{1}{\frac{1}{5}^{1}}=5\\\\[/tex].

Because [tex]5^{3}=125[/tex],

[tex]\frac{1}{5}^{-1*3}=125\\ x=-1*3=-3[/tex]

answer: -3

Answer Link

Otras preguntas

Round 108 to the nearest hundred
How is melting simillar evaporation
A family on a trip budgets $1,338 for meals and gasoline. If the price of a meal for the family is $90 and if gasoline costs $2.80 per gallon, then how many gal
please answer this box for me i need a lot of help
20 Category Members Concrete 4 Name a state that begins with the letter A 2 Name a vegetable that begins with the letter b 3 Name a relative that begins with th
What is the first step in the design process where you identify a problem that exists and gather information?
Music was blasting from the speakers. Music filled the room. Combine the sentences into one sentence.
Help please and I will give brainliest
tension was mounting as the management team discussed changes to promotion requirements. then, colby made a joke about makoto’s white-knuckled grip on his pen,
What happened to most working women after World War I? O A. They received increased wages. B. They kept working in their current jobs. C. They earned government