Exponents
Rule it!
Rule it!
When multiplying like bases, what happens to the exponents?
ADD the exponents
Change into 2500 into Scientific Notation
2.5*10^3
Find the product in Scientific Notation
(2.3*10^2)(1.3*10^6)
2.99*10^8
Which of the following is greater?
7.09*10^6 or 7.19*10^6
7.19*10^6
Find the error. What should the answer be in exponential form?
(4^3)(4^2)=4^6
Multiplied the exponents. Should be added
4^5
What does a negative exponent tell the base number to do?
Do a flip!
x^-3= 1/x^3
Change 0.00567 into Scientific Notation
5.6*10^-3
Find the quotient in Scientific Notation
(2.6*10^8)/(1.3*10^6)
2*10^2
(x^12)(x^-12)
Zero power Rule = 1
Find the error. What should the answer be in exponential form?
(7^-2)(7^-5)=7^-3
Subtracted the exponents, when should have added
7^-7
Simplify in exponential notation:
(3^8)/(3^3)
Subtract the exponents
3^5
The distance from Earth to the Sun is approximately 92,437,000 miles. What is the distance written in Scientific Notation?
9.2437*10^7
Find the missing exponent:
8^5*8^n=8^12
n = 7
Which is the least?
-4.7*10^-3 or-3.9*10^-5
-3.9*10^-5
Find the error and correct.
-8.91*10^-3=-8910
Moved the decimal in the wrong direction.
-0.00891
Simplify in exponential notation with positive exponent:
(4^2)^-3
Multiply the exponents and flip the base
4^-6=1/4^6
How many places and in what direction would you move the decimal to change to standard form?
-4.56*10^-9
Move the decimal 9 places and to the left
How many times bigger if Mount Everest than Mount Fuji, to the nearest 100th?
Mount Everest: 2.9*10^5
Mount Fuji: 1.24*10^5
Mount Everest is about 2.34 times bigger
Rewrite with positive exponents
(x^-5)/x^9
1/x^14
Find the error, correct and justify.
(-3)(-3)(-3)(-3)(-3)(-3)=-3^6
Forgot the ( )'s around the -3, a negative base to an even power is always positive.
(-3)^6
Write the answer in exponential form: (Expand it if you need)
(x^6*x^3)/x^5
(x*x*x*x*x*x*x*x*x)/(x*x*x*x*x)=x^4
Is the following is Scientific Notation? Why?
0.05*10^5
No! The front number is greater than 10. It needs to be greater than or equal to 1 and less than 10
What is the area of a rectangular park that has a length and width below in Scientific Notation?
l=3.9*10^4 and w=2.7*10^3
Area = 1.053*10^8
Rewrite with all positive exponents.
(x^-5)/(x^9)*x^2
(x^-5)/(x^9)*x^2=x^-14*x^2=x^-12=1/x^12
Find the error and correct in Scientific notation
300.5*(2*10^3)=601*10^3
The answer is not in Scientific Notation
6.01*10^5