10/27/10 Today we went over a question that Mr.Gerson asked which was: 3a^-2b^3c^-4/d^5e^-6f^7=3b^3e^6/a^2c^4d^5f^7 I learned that the definition for negative exponents means that you flip the numerator and the denominator, ex. 1/e^-6=e^6/1=e^6 We also justified why the Power to a Power, Product to a Power, and the Quotient to a Power rule works. What i found interesting was this problem: (x/y^2)^3=x^3/(y^2)^3 Quotient to a Power =x^3/y^2*3 Power to a Power= x^3/4^6 simplify
Today in math classes... 10/27/10 That powers are just repeted mutiplication problems. The definition for negitive exponents are that you flip the numerator and denominator. We also learned if you say bless you before someone sneezes it goes away. Plus multipying exponents is raising a power to a power. Some examples of problems that we learned today were, (am)^n=a^mn. Or (a/b)^n=a^n/b^n. So thats what we learned in math class today.
10/27/10 MATH Today we learned Power to a power Power Definition- a number that can be named with exponential notation Basically, you just multiply the exponents by each other Ex.(a^2)^5=a^2*^5=a^10 We also learned Product of a power With Product of a power you can use the distributive property Ex.(oc)^6=o^6c^6 Also we learned Quotient to a power The Quotient to a power is like Product of a power but the difference is that Quotient to a power has a numerator and denominator Ex.(d/t)^e=d^e/t^e
Journal Entry for 10-27-10. Today we learned the last rules of exponents. A Power to a Power: You just multiply the exponents For Example: (5^2)^3 = 5^2x3 = 5^6 Product to a Power: You can use distributive property For Example: (5x1)^2 = (5^2)(1^2) Quotient to a Power: Is similar to the rule of raising a product to a power. For Example: (1/2)^4 = 1^4/2^4
wait are we ever gonna get the stuff for the american math challenge? or are we just not gonna do that this year or something? bec i heard that mr gerson hasnt given anyone there login stuff
10/27/10 Today in class Mr. Gerson went over the terms: power to a power, product to a power, and quotient to a power. An example for a power to a power is, EX. (4^2)^2= 4^2*2= 4^4. So, all you have to do is multiply the two exponents. For the product to a power rule, it is similiar to the distributive property. Therefore, it is like this EX. (3x^2)^3= 3^3x^6= 27x^6. Lastly the quotient to a power is like this: EX. (x^2/4)^3= (x^2*^3)/4^3= x^6/64.
10/27/10 Today we learned about a power to a power, product to a power, and quotient to a power. (evaluate numbers expressed in exponential notation) Def.Power to a power- For any rational number a and any whole numbers m and n. (a^m)^n =a^m*n Def.Product to a power- For any rational numbers a and b and for any whole number n. (ab)^n =a^n * b^n Def.Quotient to a power-For any rational numbers a and b except b=0 and for any whole number n (a/b)^n =a^n /b^n
Ex: (3^2)^3 =3^2*3=36 (power to a power) Ex: (3*4)^5 =3^5 4^5 (product to a power) Ex: (2/3)6 =2^6 /3^6 (Quotient to a power)
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10/27/10 Today we went over a question that Mr.Gerson asked which was: 3a^-2b^3c^-4/d^5e^-6f^7=3b^3e^6/a^2c^4d^5f^7
I learned that the definition for negative exponents means that you flip the numerator and the denominator, ex. 1/e^-6=e^6/1=e^6
We also justified why the Power to a Power, Product to a Power, and the Quotient to a Power rule works. What i found interesting was this problem: (x/y^2)^3=x^3/(y^2)^3 Quotient to a Power =x^3/y^2*3 Power to a Power= x^3/4^6 simplify
Do we need to justify all problems?
I think we do.
@Mr. Gerson, so for the re-take on the ch.4 test, when will the test date be?
Today in math classes... 10/27/10
That powers are just repeted mutiplication problems. The definition for negitive exponents are that you flip the numerator and denominator. We also learned if you say bless you before someone sneezes it goes away. Plus multipying exponents is raising a power to a power. Some examples of problems that we learned today were, (am)^n=a^mn. Or (a/b)^n=a^n/b^n. So thats what we learned in math class today.
10/27/10 MATH
Today we learned Power to a power
Power Definition- a number that can be named with exponential notation
Basically, you just multiply the exponents by each other
Ex.(a^2)^5=a^2*^5=a^10
We also learned Product of a power With Product of a power you can use the distributive property
Ex.(oc)^6=o^6c^6
Also we learned Quotient to a power
The Quotient to a power is like Product of a power but the difference is that Quotient to a power has a numerator and denominator
Ex.(d/t)^e=d^e/t^e
Period 2:
Period 3: Monica L.
Period 4:
Period 5: Rachel C.
Period 6: Emily P.
Monica change your display name so it has your per. # on it :3
Journal Entry for 10-27-10.
Today we learned the last rules of exponents.
A Power to a Power:
You just multiply the exponents
For Example:
(5^2)^3 = 5^2x3 = 5^6
Product to a Power:
You can use distributive property
For Example:
(5x1)^2 = (5^2)(1^2)
Quotient to a Power:
Is similar to the rule of raising a product to a power.
For Example:
(1/2)^4 = 1^4/2^4
Journal Entries
Period 2: Joy P.
Period 3: Monica L.
Period 4:
Period 5: Rachel C.
Period 6: Emily P.
where's my period DDD:
Willy: I answered your question on MathCounts etusd.
wait are we ever gonna get the stuff for the american math challenge? or are we just not gonna do that this year or something? bec i heard that mr gerson hasnt given anyone there login stuff
10/27/10
Today in class Mr. Gerson went over the terms: power to a power, product to a power, and quotient to a power. An example for a power to a power is, EX. (4^2)^2= 4^2*2= 4^4. So, all you have to do is multiply the two exponents. For the product to a power rule, it is similiar to the distributive property. Therefore, it is like this EX. (3x^2)^3= 3^3x^6= 27x^6. Lastly the quotient to a power is like this: EX. (x^2/4)^3= (x^2*^3)/4^3= x^6/64.
Journal Entries
Period 2: Joy P.
Period 3: Monica L.
Period 4: Myung Sun K.
Period 5: Rachel C.
Period 6: Emily P.
We are not participating in the American Math Challenge this year, as it ends in approximately 3 hours from now.
@Eric X: thanks man
@American Math Challenge: awww D:
@Eric X: thanks man
@American Math Challenge: awww D:
Minjung just texted me to post that she can't get into her account to post her journal entry. ):
wow
Can someone give me an example of the justifications for the p.212 (1-39:odd) thanks - in advance :D
10/27/10 Today we learned about a power to a power, product to a power, and quotient to a power. (evaluate numbers expressed in exponential notation)
Def.Power to a power- For any rational number a and any whole numbers m and n. (a^m)^n =a^m*n
Def.Product to a power- For any rational numbers a and b and for any whole number n. (ab)^n =a^n * b^n
Def.Quotient to a power-For any rational numbers a and b except b=0 and for any whole number n
(a/b)^n =a^n /b^n
Ex: (3^2)^3 =3^2*3=36 (power to a power)
Ex: (3*4)^5 =3^5 4^5 (product to a power)
Ex: (2/3)6 =2^6 /3^6 (Quotient to a power)
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