7b/8 EE.1 Properties of Integer Exponenets by Ally Long

7b/8 EE.1 Properties of Integer Exponenets by Ally Long https://padlet.com/al72491/qp40gxmv3n5n 7b/8 EE.1 explanation en-us 2018-09-18 13:18:29 UTC 2018-09-21 14:08:33 UTC hello@padlet.com https://padlet-uploads.storage.googleapis.com/314565958/2159594f34d0883b661d1064545842fc/math_sign.jpeg What is an Exponent? al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/282873248 a quantity representing the power to which a given number or expression is raised to, usually expressed as a raised symbol beside the number or expression.]]> 2018-09-18 13:18:50 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/282873248 Advanced Vocab al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/282881541 Zero Exponent-A non-zero number that is put to the zero power always equals 1

Power of a Product Property-(xy)^a=x^a · y^aMonomial-One term that is expressed as a real number, a variable, a product or quotient.

Power of Power Property-The property that allows you to multiply the exponents (x^a)^b to get x^ab
Addition Property-For all real numbers a,b,and c:if a=b then a+c=b+c

Base-In x³, x is called the base

Negative Exponent- The rule that allows you to change the sign of a exponent

Product of Powers-x^a ·x^b= x^a+bQuotient of Powers-This property says that x^a divided by x^b equals x^a-bQuotient-x^a/x^b=x^a-bScientific Notation-This is shorthand way of writing very large or very small numbers, in which a number is expressed as a number between 1 and 10, times 10 raised to an exponent

Cube Root-when a number is to the power of 3

]]> 2018-09-18 13:30:00 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/282881541 Example #5 al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/283404944 (3 + 2)^-3
4^-2Step 1- 3+2= 5
Step 2- 5^-3=125Step 3- 4^-2=16
Step 4- Find the reciprocal= 16/125^{*In this problem you have to change your negative exponent to a positive exponent}

]]> 2018-09-19 13:16:27 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/283404944 Main Rules of the Powers al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/283409160 Rule #1- 10⁰=1
Anything to the power of zero equals 1.
Rule #2- 10¹=10
Anything to the power of 1 equals itself
Rule #3= 4³=64
4 · 4 ·4= 64]]> 2018-09-19 13:24:21 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/283409160 Example #1 al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/283409341 20
5·2^-3Step 1- 2^-3= 0.125
Step 2- 0.125 · 5= 0.625Step 3-20/0.625= 32

]]> 2018-09-19 13:24:43 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/283409341 Example #2 al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/283409635 (2^-5)(2²)(4³)
2
Step 1- (2^-5)=0.03125
Step 2- (2²)=4
Step 3-(4³)=64
Step 4- 64 x 4 x 0.03125=8
Step 5= 8/2= 4]]> 2018-09-19 13:25:14 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/283409635 Example #3 al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/283409786 3

5^-2Step 1-(5^-2)=0.04
Step 2= 3/0.04= 75

]]> 2018-09-19 13:25:29 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/283409786 Example #4 al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/283426191 8(12+4)⁰-4(8+3)⁰
Step 1-(12+4)=16
Step 2- (8+3)=11
Step 3-16⁰=1
Step 4-11⁰=1
Step 5- 8 · 1= 8
Step 6- 4 · 1= 4
Step 7- 8-4= 4]]> 2018-09-19 13:51:37 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/283426191 Performance Task #1 al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/283433857 5² | = 25
3^-2 |= 1/9
1/3^-2 | = 9
2⁴ | = 16

4² | = 16
4^-3 | =1/64
5^-2 |= 1/25
4³ | =64
7^-2 |= 1/49
9² =81

]]> 2018-09-19 14:03:13 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/283433857 Peformance Task #2 al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/283466590 Apply the properties of integer exponents to identify all of the expressions equivalent to 1/32.
2^-5
1/2⁵2⁴/2⁹
2²+2~~^-7~~
2⁵ x 2^-10]]> 2018-09-19 14:55:00 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/283466590 Example #6 al72491 https://padlet.com/al72491/qp40gxmv3n5n/wish/283902232 4³ · 4^-6Step 1- Combine terms
Keep the base of 4
combine 3 and -6
This equals=4^-3]]> 2018-09-20 13:43:29 UTC https://padlet.com/al72491/qp40gxmv3n5n/wish/283902232