Solve 2mn * 5m ^ 2 / 3 * n ^ 3 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

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

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