Math units 8.ee.1 and 8.ee.2

Cube/Square Numbers

100

What is a square number?

The number multiplied by itself only twice

200

What is a cubed number?

The answer of multiplying a number by itself three times

300

What is the name of the symbol you use for square roots? √ 

Radical

400

What are examples of cubed numbers?

1,8,27,64,125,216,343,512,ect...

500

7^{3 =}

What is 343

Multiplying and dividing with exponents

100

How to Multiply with exponents

If the base is the same, add the exponents

ex. x²*x⁴=x⁶

200

How to divide with exponents

If the base is the same, subtract the exponents

ex. x⁸/x²= x⁴

300

a²¹*a^-6=

What is...

a¹⁵

400

t²⁷/t³=

What is...

t⁹

500

(15x^8)/(3x^2

what is...

3x⁴

Power of an exponent

100

How to solve with power of an exponent

Follow the order of operations

200

Solve: 7^2 + 2^3 = ?

7^2 + 2^3 = 57 because seven to the second power is 49 (7x7) and two to the third power is 8 (2x2x2). 49 + 8 = 57

300

When do you do Exponents in the order of operations?

Second (2nd)

PEMDAS Parenthesis Exponents Multiplication Division Addition Subtraction Please Excuse My Dear Aunt Sally

400

Solve: 4^5 + (8^3) = ?

Answer: 4^5 + (8^3) = 1024 + 48 = 1072

Power of Power

100

How to Multiply with parenthesis

Keep the base and multiply the exponent by the power. (Multiply coefficient if necessary)

ex. (x²)³= x⁶

200

(X⁴)⁵⁼

What is..

X²⁰

300

Solve: (2^3)^5 = ?

Answer: (2^3)^5 = 2^15 or 32766

400

Solve: (3x^4)^2 = ?

Answer: (3x^4)^2 = 9x^8 because three to the second power is 9 and x to the fourth power times x to the second power equals x to the eighth power.

500

Solve: (3x^2)^2 (4a^3)^4 = ?

Answer: (3x^2)^2 (4a^3)^4 =

1. (9x⁴)(256a¹²)= 2304x⁴a¹²

Negative/zero powers

100

How to solve a Negative power problem

If base and exponent are not zero,rewrite as a fraction and that base now has a positive exponent.

200

Solve: 2^-3

Answer: 2^-3 = _1_ or _1_ 2^3 8

300

How to solve a zero power problem

Any base raised to the zero power has a value of 1

400

x^0 a^0 B^0

Answer(s): all of them are 1!!

500

Solve: 3x^2y^0 = ?

Answer: 3x^2y^0 = 3x^2 because 3x^2y^0 is multiplying 3x^2 by 1 because y^0 equals 1 so.. 3x^2 x 1 = 3x^2