Solve (5)^(2)\times(5)^(5)=(10)^(7) | 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

$${ 5 }^{ 2 } \times { 5 }^{ 5 } = { 10 }^{ 7 }$$

Verify

$\text{false}$

Solution Steps

To multiply powers of the same base, add their exponents. Add $2$ and $5$ to get $7$.

$$5^{7}=10^{7}$$

Calculate $5$ to the power of $7$ and get $78125$.

$$78125=10^{7}$$

Calculate $10$ to the power of $7$ and get $10000000$.

$$78125=10000000$$

Compare $78125$ and $10000000$.

$$\text{false}$$