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"Simplify the expression :

15x⁹y⁶
----------
3x⁴y⁶

User Mgrant
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1 Answer

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Final answer:

To simplify the expression 15x⁹y⁶ / 3x⁴y⁶, divide the numerical coefficients to get 5, and subtract the exponents of like bases to get x⁵, with y terms cancelling out since y⁰ equals 1, resulting in 5x⁵.

Step-by-step explanation:

To simplify the expression you provided (15x⁹y⁶ / 3x⁴y⁶), start by separating the numerical coefficients and the variables with exponents.

First, divide the numbers: 15 / 3 = 5.

Next, apply the exponent rules to the variables. For x, subtract the exponents (since they have the same base and are being divided): x⁹ / x⁴ = x⁹-⁴ = x⁵. For y, they have the same exponents and base, which also means division leads to cancelling out: y⁶ / y⁶ = y⁶-⁶ = y⁰. Remember, any number (including y) raised to the power of 0 equals 1.

The simplified expression is therefore 5x⁵.

To simplify the expression 15x⁹y⁶ / 3x⁴y⁶, we can divide the numbers (15 / 3 = 5) and the variables (x⁹ / x⁴ = x⁵) and (y⁶ / y⁶ = y⁰ = 1). The simplified expression is 5x⁵.

User Golly
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