Rules
What do we do when we have exponents with the same bases being multiplied?
Keep the base and add the exponent
Write each expression using a positive exponent.
9-4
1/9^4
Express each number in standard form.
9 x 10-2
0.09
Express each number in scientific notation.
0.000561
5.61 x 10-4
Compare the following: greater than, less than, or equal:
32,000 3.2 x 104
= equal
What do we do when we have exponents with the same bases being divided?
Keep the base subtract the exponents
Simplify write using positive exponents.
3^-5 * 3^2
1/3^3
Convert to standard notation:
3.0 xx 10^-3
0.003
Convert to scientific notation: 0.03452
3.452 xx 10^-2
Multiply:
(6 x 10-7) (4 x 105)
2.4 x 10-1
Going from scientific to standard notation, if the exponent is NEGATIVE move the decimal __(1)__ and __(2)__ if the exponent is POSITIVE.
1. Left
2. Right
Simplify using positive exponents.
k^10 / k^-4
k14
Convert to standard notation:
4.38 xx 10^-5
0.0000438
Convert to scientific notation: 734,239
7.34239 xx 10^5
Divide:
2.7 x 10-4 / 3 x 105
9 x 10-10
The first number in scientific notation has to be between __ and __.
1, 10
(4-5)6
4-30
Express each number in standard form.
2.52 xx 10^5
252,000
Express in scientific notation.
47,000
4.7 x 104
Arrange the following from least to greatest:
A. 4.2 x 10-2 B. 0.000035 C. 4.6 x 10-3
B, C, A
What is the name of this exponent property:
(xm)n = xmn
Power of a Power Property
Simplify using Laws of Exponents: 6-3 x (68)4
629
The mass of the Sun is
1.98892 xx 10^15
. Express in standard form.
1,988,920,000,000,000
Convert to scientific notation: 825 x 106
8.25 x 108
A newborn calf weighs approximately 80 pounds. A newborn elephant weighs 2.4 x 102 pounds. How many times more does the newborn elephant weigh than the calf? Write your answer in scientific notation.
Bonus 100 points: Simplify your answer to standard form.
3 x 100
Bonus: 3