Power & Product
What is the difference between the power rule and the product rule?
Power rule - multiply the exponents
Product rule - add the exponents
What operation do we perform when using the Quotient rule?
Subtraction
Simplify
(x^4)^-3(x^2)^4
1/x^4
Write the following numbers in scientific notation.
9,428,900,000,000
0.00000000002489
0.0789100034
9.4289 xx 10^12
2.489 xx 10^-11
7.89100034 xx 10^-2
Solve the following equation. Write your answer in standard form.
(9xx10^4)+(1xx10^5)
190,000
The River festival was a success! The river run had 9.37xx10^2 people, and the fireworks hosted 5.99xx10^3 people. 5,237 people attended the concert and 3.379xx10^3 attended the parade. Which event had the greatest attendance?
Fireworks
Simplify
(y2)-4
1/y^8
Simplify
d^12/d^2
d10
Simplify
(w^5*w^-2)/(w^3*w^3)
1/w^3
Write the following numbers in standard form.
5.3891729 xx 10^8
4.98 xx 10^-5
3.2091 xx 10^10
538,917,290
0.0000498
32,901,000,000
Solve the following equation. Write your answer in scientific notation.
(3.45xx10^-3) - (2.68xx10^-7)
3.449732xx10^-3
By area, Russia is the largest country in the world. It has an area of 8.649 x 106 square miles. Canada is second with 4.797 x 106 square miles. What is the difference in the areas?
Write your answer in scientific notation.
3.852xx10^6
Simplify
(y^7)(y^4)(y^-14)
1/y^3
Which expression is equivalent to
8^3/8^-8
A. 8^-11
B. 1/8^5
C. 8^11
D. 8^-5
C. 811
Simplify the expression completely,
(4^2 * 4^6)^3
2.814749767xx10^14
Find the value of x in each problem.
A. 480,000 = 4.8 x 10x
B. 0.00000238 = 2.38 x 10x
C. 7,000,000 = 7 x 10x
A. x = 5
B. x = -6
C. x = 6
Solve the following equation. Write your answer in scientific notation.
(8.2xx10^4)xx(2.7xx10^1)
2.214xx10^6
Students at Salt Lake Community College pay 1.585xx10^4 dollars for tuition. Students at George Washington University pay 4.573xx10^5 dollars. About how many times greater is the tuition at George Washington University than the tuition at Salt Lake C.C.? Round to hundredths place if necessary.
Write your answer in standard form and state the answer in the context of the problem.
Tuition at George Washington University is 28.85 times greater than Salt Lake Community College.
What is the value of x?
p^3 * p^2 * p^x = p^10
x=5
Simplify
2^-2/2^-6
2^4
Write 1/4^2 as a:
Fraction
Whole number
Positive power
Negative power
Solve (no exponents)
Fraction 1/4^2
Whole number 4^-2
Positive power 1/4^2
Negative power 4^-2
Solved 1/16
Which number is the least in value?
Which number is the greatest in value?
A. 5.0 x 10-9
B. 5.0 x 10-8
C. 5.0 x 10-6
D. 5.0 x 10-4
Least Value = A. 5.0 x 10-9
Greatest Value = D. 5.0 x 10-4
Solve the following equation. Write your answer in calculator notation.
(5.67xx10^20)/(9.84xx10^-6)
5.762195122E25
The diameter of the sun is 1.4 x 106 kilometers. The diameter of the Earth is 1.28 x 104 kilometers. About how many times bigger is the diameter of the sun than the diameter of the Earth? Round to the nearest whole number.
Write your answer in standard form and state the answer in the context of the problem.
The diameter of the sun is about 109 times bigger than the diameter of the Earth.
Simplify
(2x4y6)2
4x8y12
What is the value of x?
5^12/5^x = 5^7
x=5
Is the equation below true or false?
*Must show work*
(9^0 xx 9^5)/9^2 = ((9^3)^2)/9^3
True
93 = 93
List the numbers in order from least to greatest. Use the letters to list them.
A. 5.2E-4
B. 5.15E-3
C. 5.01E-3
D. 5.23E-4
Least
A. 5.2E-4
D. 5.23E-4
C. 5.01E-3
B. 5.15E-3
Greatest
The dimensions of a rectangular office building are 1.5 x 102 feet by 1.35 x 103 feet. What is the perimeter of the base of the building, in feet?
A. 3.00 x 103
B. 2.85 x 105
C. 5.70 x 105
D. 1.50 x 103
A. 3.00 x 103
(1.5xx10^2)xx2=300
(1.35xx10^3)xx2=2700
2700+300=3000
This question has two parts.
Part A:
The mass of two animals at a zoom are described, where b and c are integers.
* The mass of a Northern Giraffe is 1,950,447 grams, or about 2xx10^b grams.
* The mass of a Plains Zebra is 399,161 grams, or about 4xx10^c grams.
What are the values of b and c?
b = ?
c = ?
Part B
Using the estimated values, the mass of the Northern Giraffe is about 5xx10^m times the mass of the Plains Zebra, where m is an integer.
What is the value of m?
m = ?
Part A:
b = 6 2xx10^6
c = 5 4xx10^5
Part B:
m = 0 5xx10^0