Solve 16(x)^(3)yz\div12x(y)^(4)(z)^(2) | 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

$$16 { x }^{ 3 } yz \div 12x { y }^{ 4 } { z }^{ 2 }$$

Evaluate

$\frac{4z^{3}x^{4}y^{5}}{3}$

Solution Steps

Divide $16x^{3}yz$ by $12$ to get $\frac{4}{3}x^{3}yz$.

$$\frac{4}{3}x^{3}yzxy^{4}z^{2}$$

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

$$\frac{4}{3}x^{4}yzy^{4}z^{2}$$

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

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

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

$$\frac{4}{3}x^{4}y^{5}z^{3}$$

Differentiate w.r.t. x

$\frac{16y^{5}\left(xz\right)^{3}}{3}$