Check number 1 please and help me solve the rest.

Question

asked May 24, 2023 6.3k views

1 Answer

Snaut · Answer 1 · 2023-05-30T01:12:42+0000

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

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