Solve 3ab*3ab*3ab

$$3 a b \cdot 3 a b \cdot 3 a b$$

Evaluate

$$27\left(ab\right)^{3}$$

Solution Steps

Multiply a and a to get a^{2}.

$$3a^{2}b\times 3b\times 3ab$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$3a^{3}b\times 3b\times 3b$$

Multiply b and b to get b^{2}.

$$3a^{3}b^{2}\times 3\times 3b$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$3a^{3}b^{3}\times 3\times 3$$

Multiply 3 and 3 to get 9.

$$9a^{3}b^{3}\times 3$$

Multiply 9 and 3 to get 27.

$$27a^{3}b^{3}$$

Differentiate w.r.t. a

$$81a^{2}b^{3}$$