Solve (5(5)^(2)\times2(2585)^(2))^(22) | 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

$${ \left(5 { 5 }^{ 2 } \times 2 { 2585 }^{ 2 } \right) }^{ 22 }$$

Evaluate

$79973163859214638374786615182667213660624998619449297228855617730011688675746677045376583384335407516622147635076470454742896684894284178033233012605762723978841677308082580566406250000000000000000000000$

Solution Steps

To multiply powers of the same base, add their exponents. Add $1$ and $2$ to get $3$.

$$\left(5^{3}\times 2\times 2585^{2}\right)^{22}$$

Calculate $5$ to the power of $3$ and get $125$.

$$\left(125\times 2\times 2585^{2}\right)^{22}$$

Multiply $125$ and $2$ to get $250$.

$$\left(250\times 2585^{2}\right)^{22}$$

Calculate $2585$ to the power of $2$ and get $6682225$.

$$\left(250\times 6682225\right)^{22}$$

Multiply $250$ and $6682225$ to get $1670556250$.

$$1670556250^{22}$$

Calculate $1670556250$ to the power of $22$ and get $79973163859214638374786615182667213660624998619449297228855617730011688675746677045376583384335407516622147635076470454742896684894284178033233012605762723978841677308082580566406250000000000000000000000$.

$$79973163859214638374786615182667213660624998619449297228855617730011688675746677045376583384335407516622147635076470454742896684894284178033233012605762723978841677308082580566406250000000000000000000000$$

Factor

$2^{22}\times 5^{110}\times 11^{44}\times 47^{44}$