Question

Evaluate the expression:

6^7/6^3

Answer 1

Does it equal 1296

Answer 2

Yes, when diving two exponents with the same base you substract the exponent:
\[{a^m \over a^n} = a^{m - n}\]

6^7/6^3 = 6^4 = 1296

Answer 3

or is it 6^21

Answer 4

You're dividing two exponents,
\[{6^7 \over 6^3} = \frac{6*6*6*6*6*6*6}{6*6*6}\]
You can cancel three of them out
\[\frac{6*6*6*6\cancel{*6*6*6}}{\cancel{6*6*6}} = 6*6*6*6 = 6^4 = 1296\]

And in general, for a number a,
\[\Large \frac{a^m}{a^n} = a^{m-n}\]

Answer 5

Oh, okay. Thank you :)