Question

Which expression is equivalent to StartFraction 10 x Superscript 6 Baseline y Superscript 12 Baseline Over negative 5 x Superscript negative 2 Baseline y Superscript negative 6 Baseline EndFraction? Assume x not-equals 0, y not-equals 0. â€"50x8y18 â€"2x8y18 â€"2x12y72 5x8y18.

Answer 1

Equivalent expressions are expressions that have the same value

The equivalent expression of $\frac{10x^6y^{12}}{-5x^{-2}y^{-6}}$ is $-2x^{8}y^{18}$

The expression is given as:

$\frac{10x^6y^{12}}{-5x^{-2}y^{-6}}$

Divide the common terms in the above expression

$\frac{10x^6y^{12}}{-5x^{-2}y^{-6}} = -\frac{2x^6y^{12}}{x^{-2}y^{-6}}$

Combine expression with the same base, by applying the law of indices

$\frac{10x^6y^{12}}{-5x^{-2}y^{-6}} = -2x^{6--2}y^{12--6}$

Rewrite the exponents as follows

$\frac{10x^6y^{12}}{-5x^{-2}y^{-6}} = -2x^{6+2}y^{12+6}$

Evaluate the exponents

$\frac{10x^6y^{12}}{-5x^{-2}y^{-6}} = -2x^{8}y^{18}$

Hence, the equivalent expression of $\frac{10x^6y^{12}}{-5x^{-2}y^{-6}}$ is $-2x^{8}y^{18}$

Read more about equivalent expressions at:

brainly.com/question/2972832

Answer 2

Answer:

B. –2x8y18

Step-by-step explanation: