Write 4 x 4 x 4 x 4 x 4 x 4 x 4 in exponential form.
4^7
100
Evaluate:
(2^2)^3
2^6 = 64
100
Is the following expression written in scientific notation, 3.25 + 10^-7? If not, explain why.
No, because the coefficient should be multiplied, not added.
100
(3.7 x 10^9) + (9.04 x 10^9)
12.74 x 10^9
1.274 x 10^10
100
Is -2^8 the same answer as (-2)^8? Explain.
No. The -2 in parenthese will have a positive answer becasue of the even exponent. The -2 without parenthese will have a negative answer.
200
Write 3^5 in expanded form.
3 x 3 x 3 x 3 x 3
200
Simplify:
(4y)^3
(4^3)(y^3) = 64y^3
200
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 10^27 kg
200
(8.45 x 10^-7) - (6.9 x 10^-7)
1.55 x 10^-7
200
Shelly's work is shown below:
(5^4)(5^-3) = 5
Is Shelly correct? Explain.
Shelly is correct because she added the exponents.
300
Evaluate the expression, (-3)^3
-27
300
Simplify:
(x^5)(x^9)
x^14
300
The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.
0.0095
300
The surface of the Earth is water and land. The approximate total surface area of Earth is 5.1 x 10^8 square km and the approximate total surface area of water is 361,000,000 square km. About how much of Earth's surface area is land?
1.49 x 10^8
300
Is the following number written in scientific notation? Why or why not?
13.79 x 10^7
No, the 13.79 is greater than 10.
400
Evaluate the expression, (149)^0
1
400
Evaluate:
(36x^4y^3) / (6xy^2)
6x^3y
400
The size of the Sahara desert is about 3.629 x 10^6 square miles and the Arabian desert is about 9 x 10^5 square miles. Which desert is larger? Explain how you know.
The Sahara desert is larger, because it has a larger exponent.
400
Humpback whales are knownm to weigh as much as 8 x 10^4 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 10^7
400
The mass of Mars is about 6.4 x 10^23 kg. It would take about 2,970 of the plant Mars to equal the mass of Jupiter. What is the mass of Jupiter?
About 1.9 x 10^27 kg
500
Simplify the expression, 9^-2
1/81
500
Evaluate:
[(5x^2)^3] / [7y^9]^0
125x^6
500
The size of the four oceans, in square KM, is shown below. List the oceans from smallest to largest.
Pacific Ocean - 1.7965 x 10^ 8
Arctic Ocean - 1.323 x 10^7
Atlantic Ocean - 1.061 x 10^8
Indian Ocean - 7.49 x 10^7
Arctic, Indian, Atlantic, Pacific
500
A computer can perform 4.66 x 10^8 instructions per second. How many instructions is that per minute? Per hour? Write your answers in scientific notation.
2.796 x 10^10 per minute
1.6776 x 10^12 per hour
500
Jahliek solved the problem shown below:
(2 x 10^4)(1.8 x 10^6) = 3.6 x 10^-2
Is he correct? Explain.
No. Jahliek subtracted the exponents instead of adding them.