myarauch myarauch
  • 22-10-2019
  • Mathematics
contestada

What is the value of the power a if 5 to the power of a is equal to 1/125

Respuesta :

Аноним Аноним
  • 22-10-2019

First of all, you should know/notice that

[tex]125=5^3[/tex]

You should also know how negative exponents work:

[tex]a^{-m}=\dfrac{1}{a^m}[/tex]

So, if you wanted

[tex]5^x=125[/tex]

the answer would be x=3, but since you want 125 to be at the denominator, the answer is x=-3:

[tex]5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}[/tex]

Answer Link

Otras preguntas

Is contemporary chinese society inhumane? what mencius and empirical psychology have to say?
Julian runs between 4 and 5 miles 3 days per week
(PLEASE HELP)An ambulance has a mass of 5.44×105 ounces. Which unit of measurement is most appropriate to measure this mass?
A bacteria culture starts with 220 bacteria and grows at a rate proportional to its size. after 3 hours there will be 660 bacteria. (a) express the population a
How did the cotton gin affect slavery in the south
will you please help my daughter and me
Which is a true number sentence? A. 2 + 4 = 6 - 1 B. 2 + 4 = 7 - 1 C. 2 + 4 = 8 - 1
Explain the ways that one interaction from act 4 between a major character and a minor character developed the plot of The Tragedy of Julius Caesar.
The factors you should consider when selecting the speed of your vehicle are
Estimate the volume of a cube with the side lengths of 17 centimeters