Solve ((3 ^ - 7) / (3 ^ - 9)) * 3 ^ - 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

$$(3^{-7}\div3^{-9})\times3^{-4}$$

Evaluate

$\frac{1}{9}\approx 0.111111111$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $-9$ from $-7$ to get $2$.

$$3^{2}\times 3^{-4}$$

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

$$3^{-2}$$

Calculate $3$ to the power of $-2$ and get $\frac{1}{9}$.

$$\frac{1}{9}$$

Factor

$\frac{1}{3 ^ {2}} = 0.1111111111111111$