Solve ((10)^(12))/((10)^(8))\times((10)^(12))/((10)^(8)) | 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

$$\frac{ { 10 }^{ 12 } }{ { 10 }^{ 8 } } \times \frac{ { 10 }^{ 12 } }{ { 10 }^{ 8 } }$$

Evaluate

$100000000$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $8$ from $12$ to get $4$.

$$10^{4}\times \frac{10^{12}}{10^{8}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $8$ from $12$ to get $4$.

$$10^{4}\times 10^{4}$$

To multiply powers of the same base, add their exponents. Add $4$ and $4$ to get $8$.

$$10^{8}$$

Calculate $10$ to the power of $8$ and get $100000000$.

$$100000000$$

Factor

$2^{8}\times 5^{8}$