Solve (-12(a)^(2)(b)^(3)(c)^(4))(-3(a)^(2)(b)^(2)) | 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

$$(-12 { a }^{ 2 } { b }^{ 3 } { c }^{ 4 } )(-3 { a }^{ 2 } { b }^{ 2 } )$$

Evaluate

$36b^{5}\left(ac\right)^{4}$

Solution Steps

To multiply powers of the same base, add their exponents. Add $2$ and $2$ to get $4$.

$$-12a^{4}b^{3}c^{4}\left(-3\right)b^{2}$$

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

$$-12a^{4}b^{5}c^{4}\left(-3\right)$$

Multiply $-12$ and $-3$ to get $36$.

$$36a^{4}b^{5}c^{4}$$

Differentiate w.r.t. c

$144c^{3}a^{4}b^{5}$