Select all that are equal to 5^3*5^-7 a. 1/5^-4
b. 1/5^4
c. 5^-4
d. 5^4
e. 1/-625

5^3*5^-7 = 1/5^4 b. is true = 625

5^3*5^-7 = 5^-4 c. is true = 625

Step-by-step explanation:

b. Left hand side

Simplify the following:

5^3/5^7

Combine powers. 5^3/5^7 = 5^(3 - 7):

5^(3 - 7)

3 - 7 = -4:

5^(-4)

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

1/625

Right hand side:

Simplify the following:

1/5^4

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

1/625

c. Left hand side (see above)

Right hand side:

Simplify the following:

5^(-4)

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

1/625

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step-by-step explanation:

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.