Question

Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x squared y Superscript 10 Baseline EndFraction? Assume x not-equals 0, y not-equals 0. StartFraction 5 Over x Superscript 12 Baseline y Superscript 30 Baseline EndFraction StartFraction 1 Over 5 x Superscript 8 Baseline y Superscript 13 Baseline EndFraction StartFraction 5 Over x Superscript 4 Baseline y Superscript 7 Baseline EndFraction StartFraction y Superscript 7 Baseline Over 5 x Superscript 4 Baseline EndFraction

Answer 1

It’s b

Explanation:

Answer 2

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

Explanation:

Given the expression
`(3x^(-6)y^(-3) )/(15x^(2)y^(10) )`for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.

`(3x^(-6)y^(-3) )/(15x^(2)y^(10) )\\= (3)/(15) x^(-6-2)y^(-3-10)\\ = (3)/(15)x^(-8)y^(-13) \\ =(1)/(5)x^(-8)y^(-13) \\`

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction