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
(3x^4)^4
3^4x^16
The first number in scientific notation has to be between __ and __.
1, 10
Write the expression using a positive exponent.
(10)-2
1/10^2
Express each number in standard form.
2.52 xx 10^5
252,000
Express in scientific notation.
47,000
4.7 x 104
(y^3)(x^4)(y)(x^-2)
y^4x^2
What do we do when we have exponents with the same bases being divided?
Keep the base subtract the exponents
DOUBLE JEOPARDY
Simplify write using positive exponents.
3^-5 * 3^2
3^-3 or 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
x^7/x^10
1/x^3
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^4 / k^10
1/(k^6)
Convert to standard notation:
4.38 xx 10^-5
0.0000438
Convert to scientific notation: 734,239
7.34239 xx 10^5
a^3 b^5 b^2 a^-7
b^7/a^4 or a^-4 b^7
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 xx 10^15
. Express in standard form.
1,988,920,000,000,000
Convert to scientific notation: 8,000,000
8 xx 10^6
(2^0/(3*x^2)^0)^12
1