Exponents
Write 4x4x4x4x4x4x4 in exponential form.
4^7
Evaluate:
(2^2)^3
2^6 = 64
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 * 10^9) + (9.04 * 10^9)
12.74 * 10^9 = 1.274 * 10^10
Is -2^8 the same answer as (-2)^8? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
Solve the following: (2x^-3y^4)^-2
x^6/(4y^8)
Write 3^5 in expanded Form.
3x3x3x3x3
Simplify: (4y)^3
64y^3
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
Solve the expression. Write your answer in scientific notation. (8.45*10^-7) - (6.9 *10^-7)
1.55 * 10^-7
Shelly's work is shown below: (5^4)(5^-3) = 5 Is Shelly correct? Explain.
Yes,
4+(-3) = 1
5^1=5
Simplify fully:
(x^2+5x+3)/(x+6)
x-1+9/(x+6)
Evaluate the expression,
-3^4
-81
Simplify: (5x^6)(-2x^8)
-10x^14
The mass of a Monarch butterfly is about 9.5 x 10^-3 . Write this number in standard form.
.0095
The surface of the Earth is water and land. The approximate total surface area of both land and water of Earth is 5.1 * 10^8 km2 and the approximate total surface area of water is 361,000,000 km2. About how much of the earth's surface area is land?
1.49 * 10^8
Is the following number written in scientific notation? Why or why not? 13.79 * 10^7 . If it is not, please correct the error.
No, 13.79 is not between 1 and 10.
1.379*10^8
DAILY DOUBLE!!!!!!
Perform the indicated operation:
(8n^2+4n+6)(6n^2-5n+6)
48n^4-16n^3+64n^2-6n+36
Evaluate the expression, (149)^0
1
Simplify:
3(x^4z^-2y^4)^-3(3^-2x^5y^-4z^9)^-2
243/(x^22y^4z^12)
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.
Sahara, because the exponent is bigger.
Humpback whales are known to weigh as much as 8 * 10^4 pounds. The tiny krill they eat weigh only 2.1875 * 10^-3 pounds. Approximately how many times greater than krill are humpback whales?
4 * 10^7
The mass of Mars is about 6.4 x 10^23 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 10^27
Perform the operation:
(9k^3m^2n+3k^2mn^2+54km^3n)/(6kmn)
3/2k^2m+(kn)/2+9m^2
Evaluate the expression, (-9)^-3
-1/729
Simplify: (5x^2y^-5z^8)^-3/(7y^9x^-3z^4)^-2
(49y^33)/(125x^12z^16)
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
A computer can perform 4.66 * 10^8 instructions per second. How many instructions is that per minute? Per hour? Write your answers in scientific notation.
Per minute =
2.796 * 10^10
Per Hour =
1.6776 x 10^12
Timothy solved the problem shown below: (2 x 10^4)(1.8 x 10^6) = 3.6 x 10^-2 Is he correct? Explain.
No. He was supposed to add the exponents, not subtract.
Perform the operation:
(b^4-16)/(b+2)
x^3-2x^2+4x-8