Which number is equal to 10 Superscript negative 3? –1,000 –30 0.001 0.003

Given:

The given expression is

We need to determine the equivalent number.

Equivalent expression:

To determine the equivalent number, let us solve the expression

Thus, let us apply the exponent rule , we get;

Also, the term 10³ can be written as

Thus, we get;

Dividing, we get;

0.001

Hence, the equivalent number is 0.001

Hence, Option c is the correct answer.

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is