exponents definition negative exponents multiplication of exponents dividing exponents raising...
TRANSCRIPT
EXPONENTS
• Definition• Negative Exponents• Multiplication of Exponents• Dividing Exponents• Raising Exponents• Add & subtract Exponents• Base of 10 rule• Scientific Notation
WHAT ARE EXPONENTS? Exponents are equations where a base number is multiplied by itself a
number of times designated by the superscript also known as power or index.
𝑎3 Base
Power
=
MATC- TOPIC 1- Exponents
LETS TRY IT!! 24
1. Identify the base
2. Identify the power
2
4
3. Write out the problem 2x2x2x2
4. Solve the problem 16
MATC- TOPIC 1- Exponents
NEGATIVE EXPONENTS Negative exponents = reciprocal of the base
Reciprocal is the number in the form
x x
MATC- TOPIC 1- Exponents
LETS TRY IT!!
2− 4
x x2− 4 =
MATC- TOPIC 1- Exponents
MULTIPLYING AND DIVIDING EXPONENTS Multiplying exponents = adding exponents (superscript)numbers
x =
Dividing exponents = subtracting exponents (superscript) numbers
=
MATC- TOPIC 1- Exponents
LETS TRY IT!!
x 24+5
292 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2512MATC- TOPIC 1- Exponents
LETS TRY IT!!
25− 4
212 MATC- TOPIC 1- Exponents
EXPONENT TO THE “N” POWER When raising an exponent to a high power (n) this requires
multiplication of exponents.
n =
MATC- TOPIC 1- Exponents
LETS TRY IT!! 21×3232 x 2 x2 8
MATC- TOPIC 1- Exponents
NOW WHAT HAPPENS IF I OPEN UP A CAN OF WORMS AND HAVE YOU PERFORM THE PREVIOUS EXPONENT LESSONS WITH MULTIPLE BASES?
MATC- TOPIC 1- Exponents
MANIPULATING EXPONENTS WITH DIFFERENT BASES
1. Expand each base and its corresponding exponent.2. Add, subtract, multiply or divide the two numbers.
+
(4 x 4 x4) + (2 x 2 x 2)64 + 8
72Step 1
Step 2
MATC- TOPIC 1- Exponents
POWER OF ZERO? Law of exponents states any base raised to the power of zero is
equal to 1
∞ 0=1
MATC- TOPIC 1- Exponents
EXPONENTS WITH BASE OF 101. If the exponent is greater than 1 (positive) then the zeros will be after the base number
Ex) = 1,000,000
2. If the base number is less than 1 (negative) then the zeros will be to the right of the decimal point
Ex) = 0.000001
MATC- TOPIC 1- Exponents
SCIENTIFIC NOTATION By using the law of exponents with base of 10 we can simplify numbers in
standard notation that are large or small.
0.00000000000000000000602 = 6.02 x
Scientific Notation will be your best friend in a laboratory setting especially with cell counts.
100,000,000,000 cells/mL is the same as saying 1 x cells/mL
MATC- TOPIC 1- Exponents