Solve 2mn * 5m ^ 2 / 3 * n ^ 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

$$2mn\times5m^{2}\div3n^{3}=$$

Evaluate

$\frac{10m^{3}n^{4}}{3}$

Solution Steps

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

$$\frac{2m^{3}n\times 5}{3}n^{3}$$

Multiply $2$ and $5$ to get $10$.

$$\frac{10m^{3}n}{3}n^{3}$$

Express $\frac{10m^{3}n}{3}n^{3}$ as a single fraction.

$$\frac{10m^{3}nn^{3}}{3}$$

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

$$\frac{10m^{3}n^{4}}{3}$$

Differentiate w.r.t. m

$10m^{2}n^{4}$