| 1st Law of Exponents | ||
| #1 | n^2 times n^5 | n^7 |
| #2 | 2^2 times 2^3 | 2^5 = 32 |
| #3 | (-2)^2 times (-2)^5 | (-2)^7 = 168 |
| #4 | z^10 times z^3 times z^5 | z^18 |
| #5 | 3^3 times 3^2 times 3 | 3^6 = 729 |
| 2nd Law of Exponents | ||
| #1 | r^4 divided by r^3 | r |
| #2 | m^5 divided by m^2 | m^3 |
| #3 | 5^4 divided by 5^6 | 5^-2 |
| #4 | x^7 divided by x^15 | x^-8 |
| #5 | 15^4 divided by 15 | 15^3 = 3375 |
| 3rd Law of Exponents | ||
| #1 | w^-6 | 1 / w^6 |
| #2 | 3^-4 | 1 / 3^4 = 1 / 81 |
| #3 | (2m)^-3 | 1 / (2m)^3 = 1 / 2^3 tmes m^3 = 1 / 8m^3 |
| #4 | (3a)^-3 | 1 / (3a)^3 = 1 / 3^3 times a^3 = 1 / 27a^3 |
| #5 | 6^-4 | 1 / 6^4 = 1 / 1296 |
| 4th Law of Exponents | ||
| #1 | (xy)^2 | x^2 times y^2 |
| #2 | (3z)^3 | 3^3 times z^3 = 27z^3 |
| #3 | (4ab) ^3 | 4^3 times a^3 times b^3 = 64a^3b^3 |
| #4 | (-5x)^4 | -5^4 times x^4 = 625x^4 |
| #5 | (-2cde)^5 | -2^5 c^5 d^5 e^5 = -32c^5 d^5 e^5 |
| 5th Law of Exponents | ||
| #1 | (x / y)^5 | x^5 / y^5 |
| #2 | ( 3 / 4 )^2 | 3^2 / 4^2 = 9 / 16 |
| #3 | ( x^2 / t )^3 | x^2*3 / t^3 = x^6 / t^3 |
| #4 | (5m^2 / 3z^3)^2 | 5^2 m^4 / 3^2 z^6 = 25m^4 / 9z^6 |
| #5 | (3^2 c^4 / 2^2 y^3)^2 | 3^4 c^8 / 2^4 y^6 = 81c^8 / 16y^6 |
| Final Question | |
| (-7y)^0 | 1 |