Can you answer this question please?

Step-by-step explanation:

The rule for negative exponents is

and that rule goes the other way as well.  We are going to use the reverse of that rule to rewrite the fraction 1/5000 first:

so now the equation looks like this:

That first term will follow the power to power rule which is to multiply the exponents together, giving us

The rule now is that if we are multiplying like bases that we add the exponents.  5000 is our base on the left side, so we will add the exponents:

simplifying gives us

If a base with an exponent is set to equal the same base with an exponent, then the exponents can be set equal to each other.  For us, this gives us

2 = 1  (which is not true, but that's the simplification!)

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.