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lorasvet [3.4K]
2 years ago
10

Answer please i need help with this

Mathematics
2 answers:
stellarik [79]2 years ago
5 0

\qquad\qquad\huge\underline{\boxed{\sf Answer}}

Let's evaluate ~

\qquad \sf  \dashrightarrow \: \dfrac{1}{3 {}^{ - 2}   \times {x}^{ - 4} \times  {y}^{2}  }

plug in the values :

\qquad \sf  \dashrightarrow \: \dfrac{1}{3 {}^{ - 2}  \times  {3}^{ - 4}  \times { - 1}^{2}  }

\qquad \sf  \dashrightarrow \: \dfrac{1}{3 {}^{ - 6}  {}^{ } {}^{}  }

\qquad \sf  \dashrightarrow \: {3}^{6}

\qquad \sf  \dashrightarrow \:729

Therefore, B is the Correct choice ~

・ .━━━━━━━†━━━━━━━━━.・

anyanavicka [17]2 years ago
4 0

Answer:

729

Step-by-step explanation:

Given expression:

\sf \dfrac{1}{3^{-2}x^{-4}y^2}

Apply exponent rule \sf \dfrac{1}{a^{-b}}=a^b

\sf \implies \dfrac{3^2x^4}{y^2}

\sf \implies \dfrac{9x^4}{y^2}

Substituting x = 3 and y = -1:

\sf \implies \dfrac{9(3)^4}{(-1)^2}

\sf \implies \dfrac{9 \cdot 81}1}

\sf \implies 729

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