Help me with this one please. 11) Simplify the given expression using only positive exponents Show your work
7x^-4w^-7(-4x^3w^0)

Simplify:

1.  

4

−

2

2.  

10

−

3

Solution

1.  

4

−

2

Use the definition of a negative exponent,  

a

−

n

=

1

a

n

.  

1

4

2

Simplify.  

1

16

2.  

10

−

3

Use the definition of a negative exponent,  

a

−

n

=

1

a

n

.  

1

10

3

Simplify.  

1

1000

Step-by-step explanation: Simplify expressions with negative exponents

The Quotient Property of Exponents, introduced in Divide Monomials, had two forms depending on whether the exponent in the numerator or denominator was larger.

QUOTIENT PROPERTY OF EXPONENTS

If  

a

is a real number,  

a

≠

0

, and  

m

,

n

are whole numbers, then

a

m

a

n

=

a

m

−

n

,

m

>

n

and

a

m

a

n

=

1

a

n

−

m

,

n

>

m

What if we just subtract exponents, regardless of which is larger? Let’s consider  

x

2

x

5

.

We subtract the exponent in the denominator from the exponent in the numerator.

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!