SkaterGirl123 SkaterGirl123
  • 04-11-2014
  • Mathematics
contestada

What is the missing value?

7^___ / 7^5 = 7^-2


A. 7
B. 3
C. -3
D. -7

Respuesta :

SlowZasob
SlowZasob SlowZasob
  • 08-11-2014
The correct answer is B. It's because the result of dividing exponentations with the same bases (other than 0) is always the same base powered to the difference of all the exponentations. The formula is:

[tex]\frac{a^{n}}{a^{m}} = a^{n - m}[/tex]

In this situation it's:

[tex] \frac{7^{3}}{7^{5}} = 7^{-2}[/tex] because 3 - 5 = -2.
Answer Link

Otras preguntas

What is the ability of a surface to reflect sunlight called? Facies Albedo Regression Transgression
About 180,000 people live in a 5-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whol
What's the rule? 25, 20, 15, 10
Healthy eating is more than the foods you eat; list 7 healthy eating tips to keep in mind.
Is the placement to the pronoun y similar to or different from the placement of the other object pronouns?
DNA is located in the nucleus. The DNA needs to make the proteins in theribosomes. When is send a copy of itself from the nucleus to ribosome it iscalled RNA, w
You bought a magazine for $3 and two notepads. You spent a total of $13. How much did each notepad cost? *
Are the two figures necessarily similar? Type "yes" or "no". Two rhombuses = Two circles = Two isosceles triangles = Two regular hexagons =
Which groups are affected most by globalization? Select three options, businesses churches consumers economies schools
I need help What is 3x - 4 = 13