anonymous 3 years ago Evaluate the expression: 6^7/6^3

1. anonymous

Does it equal 1296

2. anonymous

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

3. anonymous

or is it 6^21

4. anonymous

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, $\Large \frac{a^m}{a^n} = a^{m-n}$

5. anonymous

Oh, okay. Thank you :)