Solve d ) 121a * b ^ 15 / 11 * a * 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

$$121 a b ^ { 15 } \div 11 a b ^ { 2 }$$

Evaluate

$11a^{2}b^{17}$

Solution Steps

Divide $121ab^{15}$ by $11$ to get $11ab^{15}$.

$$11ab^{15}ab^{2}$$

Multiply $a$ and $a$ to get $a^{2}$.

$$11a^{2}b^{15}b^{2}$$

To multiply powers of the same base, add their exponents. Add $15$ and $2$ to get $17$.

$$11a^{2}b^{17}$$

Differentiate w.r.t. a

$22ab^{17}$