find the area of a rectangle with length 3a^5b^7c and wudth 5a^4b^3c^3.
To find the area of a rectangle, we need to multiply the length by the width.
Length: 3a^5b^7c
Width: 5a^4b^3c^3
Area = Length x Width (3a^5b^7c)(5a^4b^3c^3)
To multiply the terms, we add the exponents for each variable.
Area = 15a^(5+4)b^(7+3)c^(1+3)
= 15a^9b^10c^4
Therefore, the area of the rectangle with length 3a^5b^7c and width 5a^4b^3c^3 is 15a^9b^10c^4.