In which expression should the exponents be multiplied?

(53)−4

one third to the 4th times one third to the 7th

3 to the 7th over 3 to the 15th

45 ⋅ 42

Given the function f(x) = 3x + 1, evaluate f(a + 1). a. 3a + 1 b. a + 2 c. 3a + 4

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Complete the solution of the equation. find the value of y when x equals to 6 4x+y=20