Plz me will give brainliest

1. explain how 2 x 10^-4 is the same as 2 ÷ 10^4 using expanded notation.

3. explain the difference between (-10)^2 and -10^2. what are the values of each expression?

4. explain the power of products property and give an example.

1.  

2. and

3.

Example:  

Step-by-step explanation:

1. We have , and we have to prove that this term is equivalent to .

Now,

=  

{Since we know the property of exponent as }

=

=

2. and  

3. The power of products property gives

........ (1)

For example, we can write,

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.