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

the local weather forecast has been accurate for 21 of the past 36 Days based on this fact what is the relative frequency probability that the forecast for tomo
How can writing benefit the writer?
What comes next in the sequence: 5, 13, 29, 61, ?
better HELP me cause I'm boutta NUT
Is chloral hydyrate still used in pediatric dentistry?
Calculate the speed of a proton after it accelerates from rest through a potential difference of 380 v .
The slope of GA is -5. Find the slope of the line perpendicular to the given line
A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60. The theater sells a bag of popcorn for $6 and
Which amendment says that once you have been cleared of a crime you cannot be tried for the same crime again? A) 1st B) 4th C) 5th D) 8th
What movement fostered the belief that salvation don't depend on membership in a single church?