Objective You will apply the properties of exponents to write equivalent numerical expressions.

Please hurry my assignments due today
Properties of Exponents

Answer the following questions. Be sure to show all your work.

1. Divide . Write the quotient as one power. The variable is not equal to zero.

2. If it requires x to the power of 4 silkworms to produce enough silk to make a scarf in a given amount of time, but it requires x to the power of 19 silkworms to produce enough silk to make a sheet in the same amount of time. How many times more silkworms are needed for the sheet than the scarf? Hint: Divide number of silkworms to make a sheet by the number of silkworms to make a scarf.

3. Simplify open parentheses d to the power of negative 4 end exponent close parentheses to the power of 6.

4. Simplify m to the power of 4 times n to the power of 4.

5. When multiplying powers with the same base, keep the base and multiply the exponents. Explain, in complete sentences, whether this statement is true or false, and why.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation:

5

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb