Radicals and powers formulas

Power formulas:

1. Power definition:

power definition

2. Number in zero power:

a0 = 1 при условии, что a ≠ 0

3. Number in first power:

a1 = a

4. Negative power transformation:

an1an
abnban

5. Multiplication in power:

abnanbn 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: conditions of the power transformation

6. Multiplication with the same bases:

an · am = an + m

7. Power in power:

anmanm

8. Division in power:

abnanbn

9. Division with the same bases:

anamanm

10. Relationship between powers and logarithms:

anbnlogba

Radicals (roots) formulas:

1. Relationship between powers and radicals (roots):

a1nna
anmman

2. Negative power:

a1n1na
anm1man

3. Root from root:

nkanka

4. Root from multiplication:

nabnanb

5. Mutual reducement of the root and power exponents:

nkamknam

Other useful links:

SLAE by inverse matrix method online calculator
Polynomial equations online solver
Cubic equations online calculator

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