Question

Simplify. (15b^(-9)a^(-4))/(5a^(5)b^(-2)) Write your answer using only positive exponents.

Answer 1

To simplify the given expression and write it using only positive exponents, divide the coefficients and subtract the exponents. The simplified expression is 3a^(-9)b^(-7).

Step-by-step explanation:

To simplify the expression (15b-9a-4) / (5a5b-2) and write it using only positive exponents, we can follow these steps:

1. Divide the numerical coefficients, 15 by 5, to get 3.
2. Subtract the exponents of 'b', -9 minus (-2), which is equal to -9 + 2 = -7.
3. Subtract the exponents of 'a', -4 minus 5, which is equal to -4 - 5 = -9. Putting it all together, the simplified expression is 3a-9b-7. Note that a negative exponent indicates the reciprocal of the base raised to the positive exponent.

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