Simplify. Express your answer using positive exponents
10f^8g^9 divided by 9f^4g^9
To simplify the expression, we divide the coefficients and subtract the exponents for each variable.
The coefficient 10 divided by 9 is 10/9.
For the variable f, we subtract the exponent in the denominator from the exponent in the numerator: 8 - 4 = 4.
For the variable g, we subtract the exponent in the denominator from the exponent in the numerator: 9 - 9 = 0.
Therefore, the simplified expression with positive exponents is (10/9)f^4g^0.
Simplifying further, any variable with an exponent of 0 equals 1, so g^0 = 1.
The final simplified expression with positive exponents is (10/9)f^4.