Solve 3xzyyzyzzyzz

$$3xzyyzyzzyzz$$

Evaluate

$$3xy^{4}z^{6}$$

Solution Steps

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

$$3xz^{2}yyyzzyzz$$

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

$$3xz^{3}yyyzyzz$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$3xz^{4}yyyyzz$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$3xz^{5}yyyyz$$

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$3xz^{6}yyyy$$

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

$$3xz^{6}y^{2}yy$$

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

$$3xz^{6}y^{3}y$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$3xz^{6}y^{4}$$

Differentiate w.r.t. x

$$3y^{4}z^{6}$$