Solve ((3 ^ 8 * 3 ^ - 2)/(3 ^ 4 * 3 ^ 2)) ^ 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

$$(\frac{3^{8}\times3^{-2}}{3^{4}\times3^{2}})^{2}$$

Evaluate

$1$

Solution Steps

To multiply powers of the same base, add their exponents. Add $8$ and $-2$ to get $6$.

$$\left(\frac{3^{6}}{3^{4}\times 3^{2}}\right)^{2}$$

To multiply powers of the same base, add their exponents. Add $4$ and $2$ to get $6$.

$$\left(\frac{3^{6}}{3^{6}}\right)^{2}$$

Divide $3^{6}$ by $3^{6}$ to get $1$.

$$1^{2}$$

Calculate $1$ to the power of $2$ and get $1$.

$$1$$

Factor

$1$