Laws of Exponents
Simplify completely.
(5x^2y^3)/(15x^5y^2
(y)/(3x^3
Write the following number in standard form.
5.4 x 106
5,400,000
A scientist measures two bacteria populations: 2.4 × 106 cells and 7.8 × 105 cells. What is the total in scientific notation AND in standard form?
3.18 x 106
and
3,180,000 cells
Determine how many significant figures are in each number.
a) 0.004
b) 102.80
c) 0.9000
d) 3400
a) one
b) five
c) four
d) two
Evaluate the following.
a. 16^(3/2)
b. 32^(3/5)
c. -25^(1/2
a. 64
b. 8
c. -5
Write the following number in standard form.
3.26 x 10-4
0.000326
A scientist is studying two types of bacteria. A sample of Type A bacteria contains approximately 7.2×102 bacteria per milliliter. A sample of Type B bacteria contains approximately 2.4×10-2 bacteria per milliliter.
How many times greater is the concentration of Type A bacteria than Type B bacteria? Write your answer in scientific notation AND standard form.
3 x 104
and
30,000 times
Round the following numbers to THREE significant figures.
a) 0.04789
b) 970.51
a) 0.0479
b) 971
Simplify completely.
(8^(1/3)*4^(1/2))^2
16
Write the following number in scientific notation.
6,020,000
6.02 x 106
THROWBACK
Evaluate: root(3)(9261)
21
Evaluate the following and round to the appropriate number of significant figures.
12.439 + 9.375 + 15.7
37.5
Simplify completely.
(3x3y-2)3 ⋅ (2x5y)-2
(27)/(4xy^8)
Write the following number in scientific notation.
0.00000072
7.2 x 10-7
The average human has about 100,000 hairs on their head. A classroom has 28 students.
Convert these values to scientific notation to determine about how many hairs are on the heads of all 28 students combined.
Write your answer in scientific notation and standard form.
2.8 x 106
and
2,800,000 hairs
Evaluate the following and round to the appropriate number of significant figures.
2.4 x 58.4
140
Simplify completely.
(6x^7y^-4z^-2)/(8x^2y^-3z^5
(3x^5)/(4yz^7)
Convert the following numbers to scientific notation.
a) 54.6 x 10-3
b) 0.009 x 105
c) 672 x 10-1
a) 5.46 x 10-2
b) 9 x 102
c) 6.72 x 101
The population of Japan is 122,400,000 people. The population of Thailand is 71,560,000 people.
Convert their populations into scientific notation to determine how much larger Japan's population is than Thailand's.
Write your answer in scietific notation and standard form.
5.084 x 107
and
50,840,000 people larger
How can we use scientific notation to limit this number to 3 significant figures?
42,000,000
4.20 x 107