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5 votes
Which expression is equivalent to 15a^8b^4/5a^4b

2 Answers

6 votes

Answer:


(15a^8b^4)/(5a^4b)=3a^(4)b^(3)

Explanation:

Given : Expression
(15a^8b^4)/(5a^4b)

To find : The simplified form of the expression?

Solution :

Step 1 - Write the expression


(15a^8b^4)/(5a^4b)

Step - 2 Divide Nr. and Dr. by 5


=(3a^8b^4)/(a^4b)

Step 3 - Apply exponent rule i.e,
(x^a)/(x^b)\:=\:x^(a-b)


=3a^(8-4)b^(4-1)}


=3a^(4)b^(3)

Therefore, The required simplified form of the given expression is


(15a^8b^4)/(5a^4b)=3a^(4)b^(3)

User Mircealungu
by
6.9k points
7 votes

Answer: The given expression
(15a^8b^4)/(5a^4b) simplified to
3a^4b^3

Explanation:

Given : expression
(15a^8b^4)/(5a^4b)

We have to simplify the given expression
(15a^8b^4)/(5a^4b)

Consider the given expression
(15a^8b^4)/(5a^4b)

Divide the numbers
(15)/(5)=3


=(3a^8b^4)/(a^4b)

Apply exponent rule,
(x^a)/(x^b)\:=\:x^(a-b)

We have,


(a^8)/(a^4)=a^(8-4)=a^4


=(3a^4b^4)/(b)

Cancel out common factor b,

We have


=3a^4b^3

Thus, the given expression
(15a^8b^4)/(5a^4b) simplified to
3a^4b^3

User George Karanikas
by
6.8k points