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,

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!