Download Vocabulary for Exponents: Exponent

Vocabulary for Exponents:
Exponent - The exponent indicates how many times you need to multiply the factor.
Base - Indicates what factor needs to be multiplied.
Standard Form - Is the "answer".
Expanded Notation - A way of writing a number to show which values are in which places.
Exponential Form - A number show its base and exponents.
Factored Form - 2 to the third power = (2)(2)(2)
Exponent Rules:
1.) Product Property Rule - When multiplying exponents, if the bases are the same, keep the
base and add the exponents.
2.) Quotient Property Rule - When dividing exponents, in the bases, if the dividend can be evenly
divided by the divisor, do the division and subtract the exponents.
3.) Negative Exponent Rule - When the exponent is negative, just flip the base.
4.) One Exponent Rule - When the exponent is one, the base stays the same.
5.) Power of a Power Property Rule - When a power of a power occurs, multiply the powers. The
base stays the same.
6.) Zero Exponent Rule - When the power of any number is zero, the answer is always one.
"I AM NOT AFRAID OF EXPONENTS, I AM SMARTER THAN EXPONENTS!!!
- MRS ROWE"
"BE ONE WITH THE EXPONENTS, YOU MUST."
- YODA
Scientific Notation
1.) When trying to change a decimal to a scientific notation, you need to make it so that there is
only one number on the left side of the decimal. This number must be in between 1-9. You count
how many places you need to move the decimal to do this, and the number will be the exponent
over ten in the scientific notation. The exponent will be negative or positive depending on which
direction you move the decimal.
Moving it: right = negative, left = positive. ----Therefore, 667 000. = 6.67 x 10^ 5 <also> 0.000 078 9 = 7.89 x 10^ -5
Remember- If the number is less than one, the ten will have a negative exponent in the
scientific notation. If the number is greater than one, the ten will have a positive exponent
in the scientific notation.
2.) When changing the scientific notation to a decimal, you move the decimal the same # as the
exponent above ten. You move it left or right depending on whether the exponent is a negative or
positive. A zero is put in the place values where there are no numbers. ---Therefore, 4.7 x 10^ 4 = 4700. <also> 6.98 x 10^ -6 = 0.000 006 98
Multiplying with Scientific Notation
1. When multiplying, change both numbers into scientific notation.
2. Next isolate the numbers on one side and the powers of ten on the other.
3. Multiply the numbers and multiply the powers of ten.
4. Make sure answer is in Sc. Not. with one number to the left of the decimal.