Hello friends, this time I will refer to the mathematical powers, although we know that since children in our schools taught us that the powers are operation between numerical values called the base and the exponent, this type of mathematical operations are very useful in the multiplication since it allows to simplify terms by means of a process of several exponents multiplied several times, the powers of powers are defined by a group of properties, which I will define one by one in this post, I will also explain some practical exercises of each of these powers . Then I invite you to observe this interesting publication!

Photographs taken by @steenshare with an android phone Samsung J7

Properties of the power

Power product of the same base

This is represented as the power of a product that has the same base, where the associated powers have the same base and the same exponent, giving as results the sum of both terms. Then you will observe the formula that defines this property and also some practical exercises performed by @steenshare.

Photographs taken by @steenshare with an android phone Samsung J7

Power ratio of equal base

This is represented as the quotient of 2 powers that have the same base, product of which both powers have the same base and the same exponent is produced in this property to subtract the exponents. Then you will observe the formula that defines this property and also some practical exercises done by @steenshare.

Photographs taken by @steenshare with an android phone Samsung J7

Power of Power

This property presents as a result that the product of a power power that has a power with the same base and as an exponent has the product of said exponent. Then you will observe the general formula that defines this property and also some practical exercises performed by @ steenshare.

Photographs taken by @steenshare with an android phone Samsung J7

Product of powers with different bases and equal exponents

This is represented as the power that is based on the product of the same and as an exponent presents the product of the exponents. Then you will observe the general formula that defines this property and some practical exercises carried out by @steenshare.

Photographs taken by @steenshare with an android phone Samsung J7

Quotient of powers with different bases and equal exponents

This is represented as the power that has as base the quotient of the bases and as exponents has the same term. Below you can see the general formula that defines this property and some pact exercises performed by @steenshare.

Photographs taken by @steenshare with an android phone Samsung J7

Bibliography :

• Elemental mathematics of the product of powers .2009. Tito Fermihno Eduar Sthawer.
• Properties of the mathematical powers, powers of powers .2015. Alexandra de manaurelli. Di vitto Regio.
• Multiplication of powers, basic math level 3, powers of quotients .2011. Jhonm Zaalletta. Ritta l.
• http://www.slidermath.com/wjava/Expnt5.shtml
• Power of mathematical quotients, product of the powers as elements of exponents.2002. Pablo M. Andres Viloriano
• http://www.dummies.com/education/math/algebra/how-to-raise-powers-of-powers/