Exponents
Write 4x4x4x4x4x4x4 in exponential form.
47
Evaluate: (22)3
26 = 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 109) x (9.04 x 109)
3.3448 x 1019
Is -28 the same answer as (-2)8? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
Write 35 in expanded Form.
3x3x3x3x3
Simplify: (4y)3
43y3 or 64y3
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) x (6.5 x 105)
5.4925 x 10-2
Shelly's work is shown below: 54 x 5-3 = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1 ----> 51 = 5
Evaluate the expression, -33
-27
Simplify: (x5)(x9)
x14
The mass of a Monarch butterfly is about 9.5 x 10-3. Write this number in standard form.
.0095
A female blue whale weighs 1.36x105 kg. A whale shark weighs 2.27x103 kg. Divide to find how many times more the blue whale weighs than the whale shark. Write your answer in standard form.
60 kg
Is the following number written in scientific notation? Why or why not? 13.79 x 107
No, 13.79 is greater than or equal to 10.
Evaluate the expression, 1490
1
Simplify: (x4y3)/(xy2)
x3y
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. Divide to find approximately how many times greater than krill are humpback whales? Round the coefficient to the nearest whole number.
4 x 10^7
Tori solved the problem shown below: (6.4 x 108)/(2.5 x 103) = 2.56 x 1011 Is she correct? Explain.
No. She was supposed to subtract the exponents, not add.
Evaluate the expression, 9-2
1/92 or 1/81
Simplify: (x2)3/(y9)0
x6
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? Write your answers in scientific notation
2.796 x 1010 per minute
Jerry 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.