Is this the answear to 36x^2 y^4 a^-2

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72a x^-1 y

^ means power

Answear 1
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2 a^3 x y^5

Answered below.

Ok, you lined the constants up to get 1/2. The exponent of x looks wrong as does that for y, a^3 is correct.

To solve the given expression, let's break it down step by step:

The expression is:
(36x^2 y^4 a^-2) / (72a x^-1 y)

Step 1: Simplify the constants.
To simplify the constants, divide the numerator (36) by the denominator (72), which gives you 1/2.

Step 2: Simplify the variables.
For the variable x, subtract the exponent in the denominator (x^-1) from the exponent in the numerator (x^2), which gives you x^(2-(-1)) = x^3.
For the variable y, subtract the exponent in the denominator (1) from the exponent in the numerator (y^4), which gives you y^(4-1) = y^3.
For the variable a, subtract the exponent in the denominator (a) from the exponent in the numerator (a^-2), which gives you a^(-2-a) = a^-3.

So far, we have: (1/2) * (x^3) * (y^3) * (a^-3)

Step 3: Arrange the simplified terms.
Combining all the simplified terms, we get:
(1/2 * x^3 * y^3 * a^-3)

Step 4: Further simplify the expression.
To simplify further, we bring all the variables with positive exponents to the numerator and those with negative exponents to the denominator:
(x^3 * y^3) / (2 * a^3)

Therefore, the simplified answer to the given expression is:
(x^3 * y^3) / (2 * a^3)

Note: The simplified expression may differ from the provided answer. Double-check for any errors or discrepancies in the given answer.