Answer:
a. true
b. false
c. true
d. false
Explanation:
a. A product raised to a power is equivalent to each of the multiplicand raised to that power as well. Example:
(xyz)ⁿ = xⁿyⁿzⁿ
(1·3·7)² = 1²(3²)(7²)
b. Is wrong. When you have addition/subtraction inside a parentheses, you have to foil. Example:
(a + b)² = (a + b)(a + b)
= a² + 2ab + b²
(1 + 3)² = (1 + 3)(1 + 3)
= 1² + 2(1)(3) + 3²
= 16
c. Numbers with the same root can be merged when you're multiplying/dividing them. Example:
√(a)√(b) = √(ab)
√(2)√(3) = √(2·3) = √(6)
d. You can only merge or split the root when multiplying/dividing.
You CANNOT merge the root when adding/subtracting.
√(a ± b) ≠ √(a) + √(b), this is NOT allowed
e. I already gave examples in the previous parts.