Multiplying Same Base
Dividing Same Base
Rules
Negative Exponents
Miscellaneous
100
5^3 * 5^4
What is 5^7?
100
2^5 / 2^3
What is 2^2?
100
Keep the base and add the exponents.
What is the rule for multiplying powers with the same base?
100
Simplify 4^-3
What is 1/4^3
100
Go to the board and write out in factor form "2 to the power of 6".
What is 2*2*2*2*2*2?
200
8^3 * 8^17
What is 8^20?
200
5^6 /5^2=
What is 5^4?
200
Keep the base and subtract the exponents.
What is the rule for dividing powers with the same base?
200
Rewrite this problem using the negative exponent rule: r^6 * r^-13 You do not to simplify.
What is r^6/r^13?
200
Go to the board and write out in exponential form five to the power of 2 and then evaluate.
What is 5^2 = 25
300
10^7 * 10^-4
What is 10^3?
300
9^-2 /9^4
What is 9^-6
300
Any number (other than 0) raised to the zero power is always 1.
What is the rule for the zero power?
300
Rewrite using negative exponent rule. You do not have to simplify. 5^- 6 * 5^9
What is 5^9/5^6?
300
Simplify p^7 * q^5 * p^6
What is p^13 * q^5?
400
3^-5 * 3^5 * 3^3
What is 3^3?
400
10^8 / 10^-3
What is 10^11?
400
The rule for changing negative exponents.
What is "move the power to the denominator and make the exponent positive." Or "make it a fraction with 1 in the numerator and the power in the denominator with a positive exponent?"
400
Simplify 1/3^-2 and evaluate.
What is 3^2 = 9?
400
Simplify (6*r^4*s^3)(9*r*s^2) Problem # 20 from Practice 8-3 worksheet.
What is 54*r^5*s^5
500
Evaluate 2^3 *2^2 =
What is 32?
500
9^5 * 9^4 * 9^3/ 9^7
What is 9^5?
500
Name the rule used: 4^-2 = 1/4^2
What is the negative exponent rule?
500
Simplify using positive exponent: 2*x^-4
What is 2/x^4?
500
Simplify f^5 * f^2 * f^0
What is f^7?