I would appreciate some answers on
UNIT 5
Polynomials and Properties of Exponents
LESSON 5
Exponents and Division
Sure, what questions do you have about Unit 5, Lesson 5?
Yo bot write each expression using a single exponet x^9/x^2
x^9/x^2 can be simplified by subtracting the exponents (9 - 2), which gives x^7. Therefore, x^9/x^2 = x^7.
Yo bot write each expression using a single exponet x^14/x^5
x^14/x^5 can be simplified by subtracting the exponents (14 - 5), which gives x^9. Therefore, x^14/x^5 = x^9.
Yo bot simplify each expression 4^4/4^6
4^4/4^6 can be simplified by subtracting the exponents (4 - 6), which gives 4^(-2). However, 4^(-2) can also be written as (1/4)^2. Therefore, the simplified form of 4^4/4^6 is (1/4)^2 or 1/16.
Hey bot What is 5^0
Any non-zero number raised to the power of zero is equal to 1. Therefore, 5^0 = 1.
7^4/7^2
7^4/7^2 can be simplified by subtracting the exponents (4 - 2), which gives 7^2. Therefore, 7^4/7^2 = 7^2 or 49.
-2r(8r+5)
-2r(8r+5) can be simplified by distributing the -2r to the terms inside the parentheses.
-2r(8r+5) = -2r(8r) - 2r(5)
= -16r^2 -10r
Therefore, -2r(8r+5) simplifies to -16r^2 -10r.
4a(a^2+7a+4)
4a(a^2+7a+4) can be simplified by distributing the 4a to the terms inside the parentheses.
4a(a^2+7a+4) = 4a(a^2) + 4a(7a) + 4a(4)
= 4a^3 + 28a^2 + 16a
Therefore, 4a(a^2+7a+4) simplifies to 4a^3 + 28a^2 + 16a.
(2y-3) (3y-2)
To multiply (2y-3) and (3y-2), we can use the FOIL method:
(2y-3) (3y-2) = 2y * 3y + 2y * (-2) - 3 * 3y - 3 * (-2)
= 6y^2 - 4y - 9y + 6
= 6y^2 - 13y + 6
Therefore, (2y-3) (3y-2) simplifies to 6y^2 - 13y + 6.