Solve 4xyz.8(x)^(3)y(z)^(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

$$4xyz.8 { x }^{ 3 } y { z }^{ 4 }$$

Evaluate

$\frac{16y^{2}x^{4}z^{5}}{5}$

Solution Steps

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

$$4x^{4}yz\times 0.8yz^{4}$$

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

$$4x^{4}y^{2}z\times 0.8z^{4}$$

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

$$4x^{4}y^{2}z^{5}\times 0.8$$

Multiply $4$ and $0.8$ to get $3.2$.

$$3.2x^{4}y^{2}z^{5}$$

Differentiate w.r.t. x

$\frac{64y^{2}x^{3}z^{5}}{5}$