Question

Answer please i need help with this

Answer 1

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

Let's evaluate ~

`\qquad \sf  \dashrightarrow \: \frac{1}{3 {}^( - 2) * {x}^( - 4) * {y}^(2) }`

plug in the values :

`\qquad \sf  \dashrightarrow \: \frac{1}{3 {}^( - 2) * {3}^( - 4) * { - 1}^(2) }`

`\qquad \sf  \dashrightarrow \: \frac{1}{3 {}^( - 6) {}^( ) {}^{} }`

`\qquad \sf  \dashrightarrow \: {3}^(6)`

`\qquad \sf  \dashrightarrow \:729`

Therefore, B is the Correct choice ~

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Answer 2

729

Explanation:

Given expression:

`\sf (1)/(3^(-2)x^(-4)y^2)`

Apply exponent rule
`\sf (1)/(a^(-b))=a^b`

`\sf \implies (3^2x^4)/(y^2)`

`\sf \implies (9x^4)/(y^2)`

Substituting x = 3 and y = -1:

`\sf \implies (9(3)^4)/((-1)^2)`

`\sf \implies \frac{9 \cdot 81}1}`

`\sf \implies 729`