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

Answer:

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

Step-by-step explanation:

Given the expression $\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }$for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.

$\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13}$

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