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zhenek [66]
2 years ago
15

Which expression is equivalent to StartFraction 10 x Superscript 6 Baseline y Superscript 12 Baseline Over negative 5 x Superscr

ipt 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.
Mathematics
2 answers:
Oxana [17]2 years ago
6 0

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

PIT_PIT [208]2 years ago
6 0

Answer:

B. –2x8y18

Step-by-step explanation:

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