Answer:
Add the exponents
Step-by-step explanation:
Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.
EX:
x multiplied by x^5=x^6
Well 21 times 2 is 42 and 1/3 of 21 is 7 so 42+7 is 49. hope this is right
Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.