6a-7a2÷6a3+7a

Combine fractions with similar denominators.

6+7a+-7a26a3

Add 6 and 7.

13a+-7a26a3

13a+-7a26a3

Multiply the numerator by the reciprocal of the denominator.

13a-7a2⋅a36

Cancel the common factor of a2.

Move the leading negative in -7a2 into the numerator.

13a+-7a2⋅a36

Factor a2 out of a3.

13a+-7a2⋅a2a6

Cancel the common factor.

13a+-7a2⋅a2a6

Rewrite the expression.

13a-7a6

13a-7a6

Combine -7 and a6.

13a+-7a6

Move the negative in front of the fraction.

13a-7a6

13a-7a6

To write 13a as a fraction with a common denominator, multiply by 66.

13a⋅66-7a6

To write -7a6 as a fraction with a common denominator, multiply by aa.

13a⋅66-7a6⋅aa

Multiply 13a and 66.

13⋅6a⋅6-7a6⋅aa

Multiply 7a6 and aa.

13⋅6a⋅6-7a⋅a6a

Reorder the factors of a⋅6.

13⋅66a-7a⋅a6a

13⋅66a-7a⋅a6a

Combine the numerators over the common denominator.

13⋅6-7a⋅a6a

Multiply 13 by 6.

78-7a⋅a6a

Multiply a by a by adding the exponents.

Move a.

78-7(a⋅a)6a

Multiply a by a.

78-7a26a

78-7a26a

78-7a26a

Simplify 6/a-(7/(a^2))÷(6/(a^3))+7/a