Operations with Exponents
Evaluate.
(6^2)^0
= 6^0 = 1
Evaluate.
3^4 / 3^9
1/ 3^5 or 1/243
Evaluate.
4^6 / 4^-2
4^8 or 65,536
Would the weight of a strand of hair, about 6.9 x 10^-5 grams, be best expressed using TONS, POUNDS, or MILLIGRAMS?
Milligrams
Compute the exact answer. Give your answer in scientific notation
6.2 x 10^-6 + 0.000003
Hint: Convert the second number first.
9.2 x 10^-6
Evaluate.
(v^6)^3
v^18
Evaluate.
(k^-10) (k^-2)
k^-12
Evaluate.
(j^3)^-2 x j^6
j^0 = 1
Would the area of the city of Charleston, about 24.9 x 10^11 square centimeters, be best expressed using SQUARE KILOMETERS, SQUARE METERS, or SQUARE MILLIMETERS?
Square kilemeters
Compute the exact answer. Give your answer in scientific notation.
4.2 x 10^7 - 30,000,000
1.2 x 10^7
Evaluate
2^6 x 2^3 / 2^5
2^4 or 16
Evaluate.
(m^-3)^5 / m^5
1/m^20
Determine the appropriate exponent to make the equation true.
p^5/p^-5 = ( p^2 ) ^?
?=5
Write the following number in scientific notation.
810,000,000,000
8.1 x 10^11
4.8 x 10^3 / 4 x 10^6
1.2 x 10^-3
Determine if the following equation is true.
(4^5)^5 = (4^10)^2
Yes
4^20= 4^20
Determine of the following equation is true.
(j^2)^-5 = j^10/ j^2
Not true
j^-10 does not equal j^8
Determine the appropriate exponent to make the equation true.
2^-10 x 2^2 = 2^-4 x 2^?
?=-4
Write the following number in standard form.
3.1 x 10^-7
0.00000031
ESTIMATE. Give your answer as a single digit times a power of ten.
In the United States, there are approximately 300,000,000 people that use a total of about 360,000,000,000 gallons of water in a day. How much water does each person use?
About 1 x 10^3 gallons of water each day
Determine if the following equation is true.
m^3 x m^5 / m^2 = m^4/m^0
Not true
m^6 does not equal m^4
Determine if the following equation is true
8^-5 x 8^6 = 8^0 x 8^1
Yes
8=8
Determine the appropriate exponent to make the equation true.
f^0 / f^-7 = f^14 / f^?
?=7
Write the following number in scientific notation.
0.00000027
2.7 x 10^-7
Estimate, give your answer as a single digit times a power of ten.
There were 10,700,000 Mac computers sold in 2008. If Mac earns about $200 proft per computer sold, how much profit did the company make selling computers in 2008.
~ $4 x 10^9 profit