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x^4 * x^3 = x^12
Rule: multiply exponents you multiply coefficients but add the exponents.
*They multiplied the exponents
✅ = x^7
4w^5 * 5w^7 = 9w^12
Rule: multiply exponents you multiply coefficients but add the exponents,
*they added the coefficients
✅ = 20w^12
( g^2)^5
Rule: exponent of exponent you multiply the exponents,
*they added the exponents
✅ g^10
(2m^3)^4 = 2m^12
Rule: exponent of exponent with coefficient, distribute the outside exponent to the terms inside the parentheses, simplify the terms and combine them. * they only multiplied the exponents and neglected the coefficient term.
2^4 and (m^3)^4
16 and m^12
combine both terms
✅ 16m^12
y^-2 * y*5 = y^3
✅ this one is correct, add the exponents
-2 + 5 = 3 exponent, so y^3
2k^0 = 1
Rule; exponent of 0 zero makes the term value 1, * they made the whole term 1 and neglected the coefficient
✅ (2)(1) = 2
f^6 + f^1 = f^7
Rule: you cannot add unlike terms. It’s like adding apples and oranges. You cannot add f^6 and f^1, they are not the same. *they multiplied instead of added
So your answer is
✅ f^6 + f^1