Question

Simplify the expression

Answer 1

`3x^{(1)/(2)}y^(-1)`

Explanation:

The given expression is:

`\frac{15xy}{5x^{(1)/(2)}y^2}`

We have to simplify the above given expression.Thus,

Firstly, divide the constant terms, we get

`(15)/(5)=3`

Now, applying the exponent law, that is
`(x^a)/(x^b)=x^(a-b)`, we have

`\frac{xy}{x^{(1)/(2)}y^2}=x^{1-(1)/(2)}y^(1-2)=x^{(1)/(2)}y^(-1)`

Thus, the simplified form of the above given equation is:

`3x^{(1)/(2)}y^(-1)`

Answer 2

The simplified form of given expression
`\frac{15xy}{5x^{(1)/(2)}y^2}` is
`\frac{3x^{(1)/(2)}}{y}`

Explanation:

Given: Expression
`\frac{15xy}{5x^{(1)/(2)}y^2}`

We have to write the given expression in simplified form,

Consider the given expression
`\frac{15xy}{5x^{(1)/(2)}y^2}`

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

we get,

`=\frac{3xy}{y^2x^{(1)/(2)}}`

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

`\frac{x}{x^{(1)/(2)}}=x^{1-(1)/(2)}=x^{(1)/(2)}`

we get,

`=\frac{3yx^{(1)/(2)}}{y^2}`

Cancel y term, we have,

`=\frac{3x^{(1)/(2)}}{y}`

Thus, The simplified form of given expression
`\frac{15xy}{5x^{(1)/(2)}y^2}` is
`\frac{3x^{(1)/(2)}}{y}`