Solve 2n ^ 2 * 0.2m ^ 4 * n ^ 3 * (- 3)m ^ 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

$$2n^{2}.2m^{4}n^{3}\cdot-3m^{3}$$

Evaluate

$-\frac{6n^{5}m^{7}}{5}$

Solution Steps

To multiply powers of the same base, add their exponents. Add $2$ and $3$ to get $5$.

$$2n^{5}\times 0.2m^{4}\left(-3\right)m^{3}$$

To multiply powers of the same base, add their exponents. Add $4$ and $3$ to get $7$.

$$2n^{5}\times 0.2m^{7}\left(-3\right)$$

Multiply $2$ and $0.2$ to get $0.4$.

$$0.4n^{5}m^{7}\left(-3\right)$$

Multiply $0.4$ and $-3$ to get $-1.2$.

$$-1.2n^{5}m^{7}$$

Differentiate w.r.t. n

$-6n^{4}m^{7}$