Question

Сократить дробь 36a^4b^8c^5 / 30a^b^4c^3

Answer 1

$\frac{36a^{4}*b^{8}*c^{5}}{30a^{7}*b^{4}*c^{3}} =\frac{6*b^{4}*c^{2}}{5*a^{3}}$

Answer 2

To simplify the given fraction, you can cancel out common factors from the numerator and denominator. In this case, look for common factors in the coefficients and variables:

The given fraction is: (36a^4b^8c^5) / (30a^b^4c^3)

Step 1: Simplify the coefficients: Both 36 and 30 can be divided by 6: (36 / 6) = 6 (30 / 6) = 5

Step 2: Simplify the variables: For 'a', we have a^4 in the numerator and a^b^4 in the denominator. Subtract the exponents in the denominator from the numerator: a^4 - a^b^4 = a^(4 - b^4)

For 'b', we have b^8 in the numerator and b^b^4 in the denominator. Again, subtract the exponents: b^8 - b^b^4 = b^(8 - b^4)

For 'c', we have c^5 in the numerator and c^c^3 in the denominator. Subtract the exponents: c^5 - c^c^3 = c^(5 - c^3)

Now, the simplified fraction is: (6a^(4 - b^4)b^(8 - b^4)c^(5 - c^3)) / (5)

Please note that if the exponents in the denominator are greater than the ones in the numerator, the corresponding variables will end up with negative exponents after simplification.