How to multiply the degree?

Irina Fateeva
Irina Fateeva
February 18, 2013
How to multiply the degree?

Any student knows that in mathematics there is the concept of "degree". It is precisely the degree that we call a product consisting of several factors that are equal. The basis of the degree is just such a factor. There is also such a thing as an exponent. For example, consider 2³, if we decompose, we get 2 * 2 * 2 = 16, in this case 2 is the base, and 3 is the exponent. So let's consider how to multiply the degrees.

First of all, we need to determine what kind of degree will be multiplied. In the case when the members of the work have the same basis and the degrees are different, for example, 2² * 2³, then the result will be that the base will remain unchanged, and the degrees will add up. For example, 2² * 2³ = 2²⁺³ = 2⁵ = 32.

In the case when the members of the product of these degrees have a completely different basis, but the exponents are the same, for example, 2³ * 5³, the result should be the product of the bases of the degrees, which then must be elevated to the exponent, which will be the same for the two bases.For example, 2³ * 5³ = (2 * 5) ³ = 10³ = 1000.

It may also be that the multiplied degrees are equal, for example, 5³ * 5³, in which case the result should be a degree with a base equal to one of the exponents, which will be multiplied by the amount of data of the same degrees.

For example, 5³ * 5³ = 5³ * ² = 5⁶ = 15,625, this example can also be solved in another way: 5² * 5² * 5² = 5² * ³ = 5⁶ = 15,625

So, we looked at the most frequently used tricks to learn how to multiply a number by a degree. This knowledge will greatly help any student in the development of mathematics.