3 years ago

Help please Which number sentence below matches this word problem?

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

4 0

Answer:

I think it's d

Step-by-step explanation:

Nit 100% sure but if nit its b

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3 years ago

Raise the quality in parentheses to the indicated exponent, and simplify the resulting expression with positive exponents.

finlep [7]

For this case we have the following expression:

$(\frac {-27x ^ 0 * y ^ {- 2}} {54x ^ {- 5} * y ^ {- 4}}) ^ {- 2} =$

By definition we have to:

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So:

$(\frac {-27y ^ {- 2}} {54x ^ {- 5} * y ^ {- 4}}) ^ {- 2} =$

Simplifying:

$(\frac {-y ^ {- 2}} {2x ^ {- 5} * y ^ {- 4}}) ^ {- 2} =$

By definition of power properties we have to:

$(a ^ n) ^ m = a ^ {n * m}$

So, rewriting the expression we have:

$(-1)^{-2}\frac{-y^{-2*-2}}{2^{-2}*x^{-5*-2}*y^{-4*-2}}=\\\frac{1}{(-1)^2}*\frac{-y^{4}}{2^{-2}x^{10}*y^{8}}=$

SImplifying:

$+1*\frac{y^{4-8}}{2^{-2}x^{10}}=\\\frac{y^{-4}}{2^{-2}x^{10}}=\\\frac{2^2}{x^{10}y^{4}}$

Answer:

$\frac{4}{x^{10}y^{4}}$

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4 years ago