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

HELP WITH FOLLOWING QUESTIONS.
Which medium is the greatest threat to the printed newspaper? a. Internet b. television c. radio d. e-mail
Which property primarily determines whether a giant star or a supergiant star will form? (1) mass (3) shape (2) color (4) composition
Which of the following factors will have a greater impact on a population as the density of that population increases? a. Natural disaster b. Climate c. Pred
Imagery appeals mainly to the reader's _____. knowledge of literature and history intellect interest in rhythm five senses
What is the relationship between the 4s in 8,444?
what is the only non metal in group 14
Pure water is a(n) _____. element compound mixture solution
One size vinyl record turns at a speed of 33 1/3 revolution per minute. If a song last for 3 1/2 minutes, how many times would the record spin.
Which institution served as the primary unifying force in medieval Western Europe ?