## Power formulas:

### 1. Power definition:

### 2. Number in zero power:

a^{0} = 1 при условии, что a ≠ 0

### 3. Number in first power:

a^{1} = a

### 4. Negative power transformation:

### 5. Multiplication in power:

if the conditions that
n -
is integer or
a
and
b
are real numbers and even one of them is greater than zero are hold. By using the mathematical notation this statement can be written out like this:

### 6. Multiplication with the same bases:

a^{n} · a^{m} = a^{n + m}

### 7. Power in power:

### 8. Division in power:

### 9. Division with the same bases:

### 10. Relationship between powers and logarithms:

## Radicals (roots) formulas:

### 1. Relationship between powers and radicals (roots):

### 2. Negative power:

### 3. Root from root:

### 4. Root from multiplication:

### 5. Mutual reducement of the root and power exponents: