Solve the degree of the product of 5x ^ 6 * y ^ 3 * z ^ 2 and x ^ 2 * y ^ 4 * z ^ 3 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$5 x ^ { 6 } y ^ { 3 } z ^ { 2 } x ^ { 2 } y ^ { 4 } z ^ { 3 } ?$$

Evaluate

$5z^{5}y^{7}x^{8}$

Solution Steps

To multiply powers of the same base, add their exponents. Add $6$ and $2$ to get $8$.

$$5x^{8}y^{3}z^{2}y^{4}z^{3}$$

To multiply powers of the same base, add their exponents. Add $3$ and $4$ to get $7$.

$$5x^{8}y^{7}z^{2}z^{3}$$

To multiply powers of the same base, add their exponents. Add $2$ and $3$ to get $5$.

$$5x^{8}y^{7}z^{5}$$

Differentiate w.r.t. x

$40z^{5}\left(xy\right)^{7}$