#subtraction

Описание: After watching this video, you would be able to subtract two numbers in index form.
Numbers in Index Form
A number in index form is expressed as:

a^n

Where:

a is the base
n is the exponent or index

Examples
1. 2^3 = 8
2. 5^2 = 25

Rules
1. *Product rule*: a^m * a^n = a^(m+n)
2. *Quotient rule*: a^m / a^n = a^(m-n)
3. *Power rule*: (a^m)^n = a^(mn)

Applications
1. *Algebra*: simplifying expressions
2. *Science and engineering*: modeling growth, decay, and complex phenomena
Subtracting Fractions in Index Form
Example
a^(m/n) - a^(p/q)

Steps
1. *Find a common denominator*: for m/n and p/q.
2. *Rewrite fractions*: with the common denominator.
3. *Subtract*: combine the fractions.

Example Calculation
2^(1/2) - 2^(1/4)

1. *Common denominator*: 4.
2. *Rewrite*: 2^(2/4) - 2^(1/4).
3. *Factor out common term*: 2^(1/4)(2^(1/4) - 1).

Simplification
Depends on the specific values and expressions.