Showing posts with label Laws of Exponents. Show all posts
Showing posts with label Laws of Exponents. Show all posts

Tuesday, October 9

Describe Two Laws of Exponents


Introduction to describe two laws of exponents:
Exponents are defined as one of the basis for mathematics. Exponents are also called as the power of the given functions. Simply it is defined as the number of times, the number is multiplied. For example 92 are called the exponent function. In this example, the number 2 is called the exponent and the number 9 is called as the base number.

Explanation for Describe Two Laws of Exponent

The explanations for describe two laws of exponents are given below,

There are many laws of exponents. They are as follows,

Describe two important laws of exponents:

If the multiplication of two exponents is given means, then we can add the power terms and thus produces the answers.
Law: Pa  `xx`   Pb  =  Pa+b

If the division of two exponents is given means, then we can bring the denominator function to the numerator and we can subtract the power terms and thus produces the answers.
Law: `p^a/p^b` = pa-b

Other laws of exponents:

If the numbers are given in the multiplication format and if it has the power terms means, then we can separate the power terms for each numbers and thus produces the answers.
Law: ( p `xx` q )a = pa `xx` qa

If the numbers are given in the division format and if it has the power terms means, then we can separate the power terms for each numbers and thus produces the answers.
Law: `(p/q)^a`    = `p^a/q^a`

Example Problem for Describe Two Laws of Exponents

Problem 1: Solve the given exponents function, 33 `xx` 34

Solution:

Step 1: Write the given functions,

33 `xx` 34

Step 2: Add the power of the given exponents, we get,

33 `xx` 34 = 33+4 

Step 3: Now find the value for the obtained result, we get,

37  = 2187

Thus, this is the required solution by using the laws of exponents.

Problem 2: Solve the given exponents function, `(2^4/2^2)` 

Solution:

Step 1: Write the given functions,

`(2^4/2^2)`

Step 2: In this we have to bring the denominator term to the numerator, we get,

24 - 2

Step 3: Subtract the terms which we obtained.

24 - 2 = 22

Step 4: Now find the value for the obtained result, we get,

22 = 4

Thus, this is the required solution by using the laws of exponents.

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Practice Problem for Describe Two Laws of Exponents

Problem 1: Solve the given exponents function, 42 `xx`  42

Answer: 256

Problem 2: Solve the given exponents function, `3^3/3^2`

Answer: 3