Exponents
Evaluate: (22)3
26
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) + (9.04 x 109)
12.74 x 109 = 1.274 x 1010
Is -2-4 the same answer as (-2)-4? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
Simplify: (4y)3
64y3
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: (54)(5-3) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 5^1=5
Evaluate the expression, (-3)3
-27
Simplify: (x5)(x9)
x^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 Earth is 5.1 x 108 km2 and the approximate total surface area of water is 361,000,000 km2. About how much of Earth's surface area is land?
1.49 x 108
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-2/6x5
6/x7
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.
The mass on Mars is 6.42 x 1023 kg. The mass of Mercury is 3.3 x 1023 kg.
What is the combined mass of Mercury and Mars?
9.72 x 1023 kg
5.3 x 103 - 8x 102=
4.5 x 103
Evaluate the expression, 9-2
1/81
Simplify: (5x3y-2z-9)0
1
Write the following number in scientific notation.
0.00000902
9.02 x 10-6
8.15 x 106 - 7.63 x 104 =
8.0737 x 106
6 x 10-6 and 8 x 10-8
Which number has the greatest value?
6 x 10-6