Rules/ Laws
What do we do to the exponents when we have the same bases being multiplied?
Add them
Write each expression using a positive exponent.
9-4
1/9^4
Express each number in standard form.
9 x 10-2
0.09
Convert to standard notation: 3.0 X 10^-3
0.003
The coefficient of a number in scientific notation has to be equal to or greater than __ and less than __.
1, 10
Write each expression using a positive exponent.
(10)-2
1/10^2
Express each number in standard form.
2.52 x 105
252,000
Convert to standard notation: 4.38 X 10^-5
0.0000438
What do we do to the exponents when we have the same bases being divided?
Subtract Them
Find each product or quotient. Express using positive exponents.
3^5 * 3^-2
33
Express in scientific notation.
47,000
4.7 x 104
Convert to scientific notation: 0.03452
3.452 X 10^-2
Going from scientific to standard notation, if the exponent is NEGATIVE move the decimal ___ and ____ if the exponent is POSITIVE.
Find each product or quotient. Express using positive exponents.
k^10 / k^4
k6
Express each number in scientific notation.
0.000561
5.61 x 10-4
Convert to scientific notation: 734,239
7.34239 X 10^5
What is the name of this exponent property:
(xm)n = xmn
Power of a Power Property
Simplify using Laws of Exponents: (68)4
632
The mass of the Sun is 1.98892 x 1015. Express in standard form.
1,988,920,000,000,000
Convert to scientific notation: 8,000,000
8 X 10^6