Solve ((3 ^ - 2)/5) ^ - 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

$$(\frac{3^{-2}}{5})^{-2}$$

Evaluate

$2025$

Solution Steps

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

$$\left(\frac{\frac{1}{9}}{5}\right)^{-2}$$

Express $\frac{\frac{1}{9}}{5}$ as a single fraction.

$$\left(\frac{1}{9\times 5}\right)^{-2}$$

Multiply $9$ and $5$ to get $45$.

$$\left(\frac{1}{45}\right)^{-2}$$

Calculate $\frac{1}{45}$ to the power of $-2$ and get $2025$.

$$2025$$

Factor

$3^{4}\times 5^{2}$