Select all the simplified expression

1 / 3^5

1/ 243

Step-by-step explanation:

3^4 ÷ 3^9

We know that a^b ÷ a^c = a^ ( b-c)

3 ^ ( 4-9)

3^ -5

We can rewrite this as a^-b = 1/ a^b

1 / 3^5

We know that 3^5 = 243

1/ 243

The answer to the question provided is and .

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.