Q. Find the greatest common factor.4y,10y3Write your answer as a constant times a product of single variables raised to exponents.______
Express Variables with Exponents: Now, we need to express the variables with their exponents.For 4y, we have y1 (since any variable without an explicit exponent has an exponent of 1).For 10y3, we have y3.
Find Common Factors: Next, we find the common factors between the two expressions. The common numerical factor is 2 (since both 4 and 10 have a 2 in their prime factorization). The common variable factor is y to the power of the smallest exponent, which is y1.
Multiply for GCF: Now, we multiply the common numerical factor by the common variable factor to get the greatest common factor (GCF).GCF = 2×y1GCF = 2y