Rewrite the division as a fraction.

Multiply the numerator by the reciprocal of the denominator.

Multiply .

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

To write as a fraction with a common denominator, multiply by .

Combine the numerators over the common denominator.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Multiply and .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Apply the distributive property.

Move to the left of .

Multiply by .

Multiply by by adding the exponents.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Add and .

Simplify v+(6/v)÷v+v/6