Properties of Exponents
Properties of Negative and Zero Exponents
Understand Scientific Notation
Add/Subtract with Scientific Notation
Multiply/Divide with Scientific Notation
100
Simplify to an equivalent exponential expression. Use as the base.
Write your answer using exponential notation. Simplify your answer.
7^2·7^5
7^7
100
Complete the table to find the value of a nonzero number raised to the power of 0.
81, 27, 9, 3, 1
100
Express this number in standard form.
4.382times10^11
438,200,000,000
100
Add and write your answer in scientific notation.
(7.6 times10^7)+(4.8times10^7)
1.24times 10^8
100
Simplify the expression. Express your answer in scientific notation.
(8.4times10^-7)div(3times19^-13)
2.8 \times 10^6
200
Use a property of exponents to simplify. Use 4 as the base.
4^9/4^3
4^6
200
Simplify this expression.
(-7.6)^0
1
200
Which of the following numbers is written in scientific notation?
42times10^-5
7.82times10-5
42
7.82
7.82 × 10-5
200
Simplify. Write your answer in scientific notation.
(16.3times10^4)-(3.7times10^4)
1.26 × 10^5
200
Multiply. Write your answer in scientific notation.
(6.8times10^4)times(4.7times10^11)
3.196 × 10^16
300
Simplify the expression.
(9^4)^3
9^12
300
Simplify the expression. Write your answer using positive exponents.
5^-3
1 / 5^3 = 1 / 125
300
Your calculator display shows 7.4E-8. Express this number in standard form
0.000000074
300
Subtract. Write your answer in scientific notation.
(8.3 \times 10^{-4}) - (2.9 \times 10^{-4})
5.4 × 10^-4
300
Divide. Write your answer in scientific notation.
(8.4times10^12)/( 2.1 times10^7)
4 × 10^5
400
Simplify to an equivalent exponential expression. Use 3 as the base.
(3^4·3^5)/3^2
3^7
400
8^0
Is the value of the expression greater than 1, equal to 1, or less than 1?
equal to 1
400
Express this number in scientific notation.
834,000
8.34 × 10^5
400
Subtract. Write your answer in scientific notation.
(7.5 \times 10^6) - (3.2 \times 10^5)
7.18 × 10^6
400
Simplify the expression. Write the answer in scientific notation.
(5times10^-7)(8times10^-3)
4 × 10^-9
500
Simplify to an equivalent exponential expression. Use 7 as the base.
(7^2)^4·7^3
7^11
500
Simplify the expression.
(-8.4)^0
1
500
Express this number in scientific notation.
0.0000729
7.29 × 10^-5
500
Add. Write your answer in scientific notation.
(3.6 \times 10^5) + (4.2 \times 10^4)
4.02 × 10^5
500
Divide. Write your answer in scientific notation.
frac{8.4 \times 10^{-3}}{2.4 \times 10^{5}}
3.5 × 10^-8