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jenyasd209 [6]
3 years ago
14

Which of the following is a step in simplifying the expression-

Mathematics
2 answers:
Vladimir [108]3 years ago
8 0
The correct answer would be C
bonufazy [111]3 years ago
5 0

Solution:

The Expression containing variables raised to power i.e Radicals means combination of base and Exponent is

\frac{(x y^{4})^{-3}}{(x^{-5} y^{5})^{?}}

As while solving these kind of problems, keep in mind the following radical rules:

1. (a^m)^{n}=a^{mn}\\\\2.(ab)^{m}=a^mb^n\\\\3.(a^{m})^{-n}=a^{-mn}

\frac{(x y^{4})^{-3}}{(x^{-5} y^{5})^{?}}

 = \frac{x^{-3}y^{-12}}{(x^{-5}y^{5})^{?}}

So, the first step is in simplifying the expression is Option  B which is →→x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of negative 5 multiplied by y to the power of 5.

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