Solve -7(-(x)^(6)y)(-(x)^(6)(y)^(5)) | 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

$$-7(- { x }^{ 6 } y)(- { x }^{ 6 } { y }^{ 5 } )$$

Evaluate

$-7y^{6}x^{12}$

Solution Steps

Multiply $-x^{6}$ and $-x^{6}$ to get $\left(-x^{6}\right)^{2}$.

$$-7\left(-x^{6}\right)^{2}yy^{5}$$

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

$$-7\left(-x^{6}\right)^{2}y^{6}$$

Calculate $-x^{6}$ to the power of $2$ and get $\left(x^{6}\right)^{2}$.

$$-7\left(x^{6}\right)^{2}y^{6}$$

To raise a power to another power, multiply the exponents. Multiply $6$ and $2$ to get $12$.

$$-7x^{12}y^{6}$$

Differentiate w.r.t. x

$-84y^{6}x^{11}$