Properties of Exponents
What is the base in the following expression?
X4
What is the "X"?
Anytime I have a power like 53, the base is 5.
A power like 76, and the base is 7. X4, and the base is X!
Give the square root of the following numbers (you'll have to imagine the symbol):
16
What is 4
On a function table (thats really a function...) a single output for X has to have what a ________ output for Y
What is a single output.
Remember: it can look like a function table at first, but if an input maps to more than one output, it is NOT a function.
5 second limit.
12 divided by 4 is ?
What is 3
I I poke a pin through a triangle shape and spin it around what kind of transformation is happening to the triangle?
What is a rotation
What does the exponent in the following expression mean?
52
the exponent means the number of times the base is factored.
52 means 5 is factored 2 times like 5 x 5
65 means 6 is factored 5 times like
6 x 6 x 6 x 6 x 6 x 6
Tell me the square root of 9 and what is the square root of 25 ?
What is the number 3 and the number 5
A function can be shown using the equation Y= mx + b
When graphing the equation with a line, what does m stand for?
the slope of the line
10 second time limit for both...
100 divided by 2 is ?
25 divided by 5 is?
What is 50 and 5
If I have a triangle that remains similar when I enlarge it, what is the transformation in math called here?
dilation
How many factors of 8 do you see in the following expression?
82 x 85
What is 7
82 = 8 x 8
85= 8 x 8 x 8 x 8 x 8
The total is 8 x 8 x 8 x 8 x 8 x 8 x 8, or 7!
When you have 92 it is call 9 "squared"
What might 93 be called?
What is 9 "cubed"
A function can be shown using the equation Y= mx + b
When graphing the equation with a line, what does the letter b stand for?
What is the Y intercept
What is 9 x 9, 7 X 7, 8 X 8
What is 81, 49, 64
What other transformation is like a butter fly with both wings open?
Show the products of 9x9x9 as a single power of 9
9 x 9 x 9 = ?
What is 93
A number raised with an exponent like 92 is called a single power.
What is the square root of the following numbers (you'll have to imagine the symbol over them):
25 -and- 9
What is 5 and 3
Is this a function and why or why not?
rule- the square root of the input X:
input / output
16 8, -8
9 3.-3
because I will have 2 outputs for a given input.
30 second time limt for these...
9 X 3, 6 X 7, 11 x 2
What is 27, 42, 22
What transformation have we not mentioned?
What is a translation
When you repeat the same number and add the exponents for an expression:
92 x 96 ----------------> 9 2 + 6 -----------------> 98
It is called ______?_______ multiplication.
What is same base
A number that can be obtained by squaring a whole number means that I can call it a _____?____ square
examples:
1 4 9 16 25 36 49
What is a perfect square
If I have the equation Y= 3x + -3, what is the very first step to graph a line on a coordinate plane?
First, plot b on the y-axis
Next, from b rise then run, place the point and make a line
what is special about thenumbers which are the answers to these following equations?
4 X 4
8 X 8
they are perfect squares.
*bonus*
The square root of 16 is _________
The square root of 64 is__________