Exponents
Write 4x4x4x4x4x4x4 in exponential form.
4^7
Evaluate: (2^2)^3
4^3 = 64 or 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 x 10^9) + (9.04 x 10^9)
12.74 x 10^9 = 1.274 x 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.
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 x 10^-7) - (6.9 x 10^-7)
1.55 x 10^-7
Shelly's work is shown below: (5^4)(5^-3) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 5^1=5
Evaluate the expression, (-3)^3
-27
Simplify: (x^5)(x^9)
x^14
The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.
.0095
Solve the expression. Write your answer in scientific notation. (9.25 x 10^5) - (5.9 x 10^4)
8.66 X 10^5
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.
Evaluate the expression, (149)^0
1
Simplify: (36x^4y^3)/(6xy^2)
6x^3y
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 x 10^4 pounds. The tiny krill they eat weigh only 2 x 10^-3 pounds. Approximately how many times greater than krill are humpback whales?
4 x 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. Which planet weighs more?
Jupiter
Evaluate the expression, 9^-2
1/81
Simplify: (5x^2)^3/(7y^9)^0
125x^6
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
Colony A is 9 x 10^6 grams. Colony B is 3,000,000 grams. Express Colony B in scientific notation. Which colony is bigger? By how many times?
Colony B: 3 X 10^6 grams
Colony A is 3 times bigger than colony B.
Jose 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.