Solve ( i) 8x ^ 5 * y ^ 7 / 12 * x ^ 9 * y ^ 4 | 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

$$8 x ^ { 5 } y ^ { 7 } / 12 x ^ { 9 } y ^ { 4 }$$

Evaluate

$\frac{2y^{11}x^{14}}{3}$

Solution Steps

Divide $8x^{5}y^{7}$ by $12$ to get $\frac{2}{3}x^{5}y^{7}$.

$$\frac{2}{3}x^{5}y^{7}x^{9}y^{4}$$

To multiply powers of the same base, add their exponents. Add $5$ and $9$ to get $14$.

$$\frac{2}{3}x^{14}y^{7}y^{4}$$

To multiply powers of the same base, add their exponents. Add $7$ and $4$ to get $11$.

$$\frac{2}{3}x^{14}y^{11}$$

Differentiate w.r.t. x

$\frac{28y^{11}x^{13}}{3}$