Jigsaw Team 2
Your group will be responsible for developing the rules for raising exponents to a power.
x^n means that x is multiplied by itself “n” times
3^4 = 3 x 3 x 3 x 3 = 81 The base is 3 and the exponent is 4: “3 to the fourth power”
x^3 = x * x * x The base is x and the exponent is 3: “x to the third power”
What if you wanted to raise 5^2 to the fourth power? You would get:
(5^2)^4 = (5x5)(5x5)(5x5)(5x5) = 5^8
Directions: Write out each of the following the long way, as seen above. Then, with your team, look for a pattern and create a “short cut”.
1. (a^3)^4
2. (x^2)^5
3. (m)^7
4. (2x^2)^3
Directions: Simplify the following using the short cut you discovered above.
1. (a^30)^4
2. (x^12)^5
3. (m)^70
4. (2x^5)^7
In your own words, write out the rule for raising expressions containing an exponent to a power. Your team must come to a consensus about this rule. Post your rule on the class Edmodo page.
Your group will be responsible for developing the rules for raising exponents to a power.
x^n means that x is multiplied by itself “n” times
3^4 = 3 x 3 x 3 x 3 = 81 The base is 3 and the exponent is 4: “3 to the fourth power”
x^3 = x * x * x The base is x and the exponent is 3: “x to the third power”
What if you wanted to raise 5^2 to the fourth power? You would get:
(5^2)^4 = (5x5)(5x5)(5x5)(5x5) = 5^8
Directions: Write out each of the following the long way, as seen above. Then, with your team, look for a pattern and create a “short cut”.
1. (a^3)^4
2. (x^2)^5
3. (m)^7
4. (2x^2)^3
Directions: Simplify the following using the short cut you discovered above.
1. (a^30)^4
2. (x^12)^5
3. (m)^70
4. (2x^5)^7
In your own words, write out the rule for raising expressions containing an exponent to a power. Your team must come to a consensus about this rule. Post your rule on the class Edmodo page.