Short answer. Raise the quanitity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.{-37x^-1y^-2 ^-2
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74y^3
I don't understand your 74y^3? If that is your answer, it is wrong.
see the beginning negative sign
see the 37, that is not 73
where is the 1/x ?
(y^-2)^-2=y^4
short answer.raise the quanity in parentheses to the indicated exponent, and simplify the resulting expression. express answers with positive exponents.
{-37x^-1y^-2}^-2 }
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{ 74y^3 }
To simplify the expression (-37x^-1y^-2)^-2 / 74y^3, follow these steps:
Step 1: Combine the exponents within the parentheses.
-37x^-1y^-2 is the same as -37/x^1y^2.
Step 2: Raise the expression within the parentheses to the indicated exponent (-2).
(-37/x^1y^2)^-2
Step 3: Apply the exponent to each term inside the parentheses.
(-37)^-2 / (x^1)^-2 * (y^2)^-2
Step 4: Simplify each term inside the parentheses.
(-37)^-2 is equal to 1/(-37)^2 = 1/1369.
(x^1)^-2 is equal to 1/x^2.
(y^2)^-2 is equal to 1/y^4.
Step 5: Substitute the simplified terms back into the expression.
(1/1369) / (1/x^2 * 1/y^4)
Step 6: Simplify further by multiplying the numerator and denominator by the reciprocal.
(1/1369) * (x^2/y^4)
Step 7: Combine the terms in the numerator and denominator.
x^2 / (1369y^4)
The simplified expression is x^2 / (1369y^4) with positive exponents.