Question

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

Answer 1

`(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)`

Answer 2

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`