The document discusses exponent rules. It states that the product rule for exponents is to add the exponents, so that a^m * a^n = a^{m+n}. The quotient rule is to subtract the exponents, so that a^m / a^n = a^{m-n}. It also gives examples of applying these rules, such as calculating 4^2 * 4^3 = 4^5 using the product rule, and 5^3 / 5^6 = 1/125 using the quotient rule.

1. 4.1 notes
4.1 exponents
42⋅43=45 just add the exponents called the product rule a ma n =a mn
35 am
=33 just subtract the exponents called the quotient rule n =a m−n
32 a
if it is o ver it not a negative number it is a fraction
53 53 1
6
divinde the bottom into 3 3 now 53 at the bottom goes into the top once so you would have 3
5 5 5 5
1
now solve it , you have
125
power of a product rule ab n=a n b n 2xy3=23 x 3 y 3=8x 3 y 3
now if it is4x 2 y3 you would multiply the exponents 43 x 6 y 3=64x 6 y 3
4.1 exponents newline 4^2 cdot 4^3 =4^5 just add the exponents called the
product rule a^m +a^n = a^{m+n} newline 3^{5} over 3^2 = 3^3 just
subtract the exponents called the quotient rule {a^m} over {a^n} = a^{m-n}
newline if it is o ver it not a negative number it is a fraction newline {5^{3}}
over {5^{6}} divinde the bottom into {5^{3}} over {5^3 5^3} now {5^{3}}
at the bottom goes into the top once so you would have {1} over {{5^{3}}}
newline now solve it, you have {1} over {125}newline power of a product rule
ab^{n}= a^{n} b^{n} ~2xy^{3} = 2^{3}x^{3}y^{3}= 8x^{3}y^{3}
newline now if it is (4x^{2}y)^{3} you would multiply the exponents
4^{3}x^{6}y^{3}= 64x^{6}y^{3}