Solve (7a * b ^ 3) * (- 7ab) ^ 4 | 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

$$(7ab^{3})(-7ab)^{4}$$

Evaluate

$16807a^{5}b^{7}$

Solution Steps

Expand $\left(-7ab\right)^{4}$.

$$7ab^{3}\left(-7\right)^{4}a^{4}b^{4}$$

Calculate $-7$ to the power of $4$ and get $2401$.

$$7ab^{3}\times 2401a^{4}b^{4}$$

Multiply $7$ and $2401$ to get $16807$.

$$16807ab^{3}a^{4}b^{4}$$

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

$$16807a^{5}b^{3}b^{4}$$

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

$$16807a^{5}b^{7}$$

Expand

$16807a^{5}b^{7}$

Solution Steps

Expand $\left(-7ab\right)^{4}$.

$$7ab^{3}\left(-7\right)^{4}a^{4}b^{4}$$

Calculate $-7$ to the power of $4$ and get $2401$.

$$7ab^{3}\times 2401a^{4}b^{4}$$

Multiply $7$ and $2401$ to get $16807$.

$$16807ab^{3}a^{4}b^{4}$$

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

$$16807a^{5}b^{3}b^{4}$$

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

$$16807a^{5}b^{7}$$