Laws of Eponents
When multiplying and the bases are the same, you______________ the exponents.
Add
Evaluate: (22)(23)
25 =32
Is the following expression written in scientific notation? If not, explain why. 3.25 + 10-7
No, it should be multiplied, not added.
Solve the expression. Write your answer in scientific notation. (3.7 x 109) + (9.04 x 109)
12.74 x 109 = 1.274 x 1010
Is -28 the same answer as (-2)8? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
When you are dividing and the bases are the same, you_______________ the exponents.
Subtract
Simplify: x6 /x2
x4
The mass of Jupiter is approximately 1,900,000,000,000,000,000,000,000,000 kg. Write the mass of Jupiter in scientific notation.
1.9 x 1027
Solve the expression. Write your answer in scientific notation. (8.45 x 10-7) - (6.9 x 10-7)
1.55 x 10-7
Shelly's work is shown below: (54)(5-3) = 5 Is Shelly correct? Explain.
Yes, 54+-3 = 51=5
When you are raising a power to a power, you_____________ the exponents.
Multiply
Evaluate: (32)3
36=729
The mass of a Monarch butterfly is about .0095 ounces. Write this number in scientific form.
9.5 X 10-3
The surface of the Earth is water and land. The approximate total surface area of Earth is 5.1 x 108 km2 and the approximate total surface area of water is 361,000,000 km2. About how much of Earth's surface area is land?
1.49 x 108
Is the following number written in scientific notation? Why or why not? 13.79 x 10^7
No, 13.79 is greater than or equal to 10.
Anything raised to the zero power is equal to_________.
1
Evaluate: (6xy)
1
The size of the Sahara desert is about 3.629 x 106 square miles and the Arabian desert is about 9 x 105 square miles. Which desert is larger? Explain how you know.
Sahara, because the exponent is bigger.
Humpback whales are known to weigh as much as 8 x 104 pounds. The tiny krill they eat weigh only 2.1875 x 10-3 pounds. Approximately how many times greater than krill are humpback whales?
4 x 107
The mass of Mars is about 6.4 x 1023 kg. It would take about 2,970 of the planet Mars to equal the mass of Jupiter. What is the mass of Jupiter?
1.9008 x 1027
To get rid of a negative exponent, take the _____________.
Reciprocal.
Evaluate: x-3
1/x3
The size of the four oceans, in square km, is shown below. List the oceans from smallest to largest. Pacific Ocean - 1.7965 x 108,
Arctic Ocean - 1.323 x 107,
Atlantic Ocean - 1.061 x 108,
Indian Ocean - 7.49 x 107
Arctic, Indian, Atlantic, Pacific
A computer can perform 4.66 x 108 instructions per second. How many instructions is that per minute? Per hour? Write your answers in scientific notation.
Per Second = 2.796 x 1010 Per Hour = 1.6776 x 1012
Jahliek solved the problem shown below
(2 x 104)(1.8 x 106) = 3.6 x 10-2
Is he correct? Explain.
No. He was supposed to add the exponents, not subtract.