Exponents are defined as indices or powers. They are used to indicate the number of times a particular number is multiplied repeatedly by itself. The basic version of an exponential expression is represented by the bn. B denotes the base and n indicates the exponent increases the base to. Let's say the figure is written 32. This signifies that the number three is multiplied by itself two times. It is also possible to say 33 = 3x3 = 9. The article below will help we'll learn much more details about the concept of multiplying exponents as well as other concepts related to it.

Since the process of performing the exponential method of multiplication is a vital element of math and science, it is essential that children understand the subject in a clear manner. There are many related subjects to exponents, including logarithms. In order to tackle these difficulties, children require a solid maths base. The most effective way to gain the knowledge required is to enroll in an institute for coaching like Cuemath. The trained tutors utilize a variety of tools like worksheets as well as workbooks, puzzles and math games to instruct classes. They make sure that the child enjoys learning while having fun. So, you can go to a reputable tutoring institution and be able to master the subject within a matter of minutes!

Table of Contents

Rules of Multiplying Exponents

Multiplying Exponents using the same Base

Multiplying Exponents With Different Bases

Multiplication of Negative Exponents

Multiplication of Fractions With Exponents

Multiplication of Fractional Exponents

Multiplication of Roots Using Exponents

Conclusion

Rules of Multiplying Exponents

Rule of Product of Powers When exponents share similar bases, the power is added.

The quotient of power rules in the event of dividing similar bases the powers are subtracted.

Power of power rules when power is rising by another exponent, add the powers.

Rule of Power of Product Powers will be distributed among the values of an percent.

Zero power rule Every base elevated to zero will transform into one.

The rule of Negative Exponents: Negative exponents may be converted to positive exponents through flipping them into the reciprocal.

Multiplying Exponents using the same base

In this kind of multiplication using similar bases power is multiplied, i.e., aman = am+n

E.g. 5253 = 55

Multiplying Exponents With Different Bases

When we multiply exponents using different bases, the bases have to be multiplied. But, it must be remembered that the value of exponents remains the same. i.e. anbn = (ab)n

E.g. 52 32 = 152

If the bases are not identical and the exponents have an opposite value, the value is calculated by determining each number's value and then multiplying it by the value of each base.

E.g. 51 32 = 59 = 45

Multiplication of Negative Exponents

For numbers with positive exponents and the same base, we multiply an exponent, i.e. A-ma-n = a-(m+n) + a1/(m+n)

E.g. 5-25-3 = 5-5

If the numbers are different in their bases but identical exponents, we divide the bases. a-nb-n = (ab)-n

E.g. 5-2 3-2 = 15-2

Multiplication of Fractions With Exponents

If the fractions are identical then the exponents are added. In the event that the base differs nevertheless, the exponents are equal so we can multiply the bases.

E.g (5/2)2(5/2)3 = (5/2)5

E.g. (5/3)2(5/2)2 = (25/6)2

Multiplication of Fractional Exponents

If the bases differ The exponents are then added. However, if the bases differ but the fractional exponents remain identical, then base exponents are also added.

E.g. 43/244/3 = 417/6

E.g. 43/293/2 = 363/2

Multiplication of Roots by Exponents

If the root of two numbers formed by roots is the same then we can add the exponents so that the root is a part of the total number.

E.g. (2)5(2)3 =(2)8/2 = (2)4

Conclusion

In order to perform exponential multiplication, an integral part of mathematics It is crucial that children understand the concept clearly. There are many related topics to exponents, like logarithms. In order to tackle these issues, students must have a strong maths base. The best method to learn the knowledge required is to enroll in an institute for coaching like Cuemath. The trained tutors utilize a variety of sources like worksheets and workbooks, puzzles, and math games to instruct classes. They ensure that children enjoys learning while having fun. So, you can go to a reliable tutoring center and learn the subject quickly!