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

find the centre and radius for this circle , x^2+y^2=25
9. Fill in the blank in the following sentence with the most logical word. On dort dans un
which device is used to measure potential different​
The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches
Read the following excerpt from President Jimmy Carter's inaugural address in 1976: The world is still engaged in a massive armaments race designed to ensure co
why are you teachers regarded as professionals​
What will be the nominal rate of return on a perpetual preferred stock with a $100 par value, a stated dividend of 12% of par, and a current market price of (a)
Desde actividad 4 ayudenme :'v
A shooting star is actually the track of a meteor, typically a small chunk of debris from a comet that has entered the earth's atmosphere. As the drag force slo
if 1 is one of the zeros of the polynomial x²- x + k then the value of k will be ?​