Exponents

Laws of Exponents

Scientific Notation

Operations w/ Scientific Notation

Miscellaneous

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.

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