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.
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
Shelly's work is shown below: (54)(5-3) = 5 Is Shelly correct? Explain.
Yes, when adding the exponents 4+-3 = 1.
51=5
Evaluate the expression, (-3)3
-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
Is the following number written correctly in scientific notation? Why or why not? 13.79 x 107
No, 13.79 is greater than or equal to 10.
Evaluate the expression, (149)0
1
Simplify: (36x4y4) / (6xy2) this is division
6x3y
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 of Mars is about 6.4 x 1023 kg. The mass of Jupiter is 1,900,800,000,000,000,000,000,000,000 Which planet has a greater mass? How do you know?
Jupiter has a greater mass.
Mass of Mars 6.4 x 1023
Mass of Jupiter 1.9008 x 1027
Simplify the expression using only positive exponents, 9-2
1/92
Simplify: (5x2)3 / (7y9)0
53x6 or 125x6
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
Jalil wrote 243500 in scientific notation as 2.435 x 102
He says the exponent represents the number of zeros in the original value. Is Jalil correct? Why or why not? Provide the correct answer if he is wrong.
No. He was suppose to put the decimal after the first non-zero number then count the decimals for the exponent. 2.435 x 105