Question

Check number 1 please and help me solve the rest.

Answer 1

In this session we will focus on question 5. We are asked to simplify the following expression

`(\frac{\placeholder{⬚}\text{ -1}}{2}x^3y^0)(6x^2y^3)(\text{ -3y\rparen}`

First, recall that any non zero number, raised to the 0th power is equal to 1. So we have

`y^0=1`

Also, recall the property of exponents that given a,b,c and we have that

`a^b\cdot a^c=a^(b+c)`

What we will do is that we are going to group the expression into another expressions, organized by the same variable and the constants. So we get

`(\frac{\placeholder{⬚}\text{ -1}}{2}\cdot6\cdot(\text{ -}3))(x^3\cdot x^2)(y^3\cdot y)`

so applying the property on each expression, and operating, we get

`(9)(x^5)(y^4)=9x^5y^4`