## ikoreanx3 Group Title Evaluate the expression: 6^7/6^3 one year ago one year ago

1. ikoreanx3 Group Title

Does it equal 1296

2. Meepi Group Title

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. ikoreanx3 Group Title

or is it 6^21

4. Meepi Group Title

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. ikoreanx3 Group Title

Oh, okay. Thank you :)