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SkaterGirl123 SkaterGirl123
  • 03-11-2014
  • Mathematics
Answered

What is the missing value?


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


A7
B3
C-3
D-7

Verified Answer :

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:

\(\frac{a^{n}}{a^{m}} = a^{n - m}\)

In this situation it's:

\(\frac{7^{3}}{7^{5}} = 7^{-2}\) because 3 - 5 = -2.

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