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.
–50x8y18
–2x8y18
–2x12y72
5x8y18

Answer 1

Answer:b

Step-by-step

edge

Answer 2

Option (B) $-2x^8y^18$ is the correct answer.

To simplify the given expression, we can use the rules of exponents:

Start Fraction 10 x Superscript 6 Baseline y Superscript 12 Baseline Over negative 5 x Superscript negative 2 Baseline y Superscript negative 6 Baseline End Fraction

= Start Fraction$(10 / -5) x$ Superscript $(6-(-2))$ Baseline y Superscript $(12-(-6))$ Baseline End Fraction (dividing by a negative number flips the sign of the fraction)

$= -2x^8y^18$

Hence, Start Fraction 10 x Superscript 6 Baseline y Superscript 12 Baseline is equivalent to To negative Superscript negative, 5 times Baseline End Fraction is$-2x8y18$ and the baseline y superscript is negative.

Option (B)$-2x^8y^18$is the correct answer.

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