<h3>
Answer:</h3>

<h3>
Step-by-step explanation:</h3>
The rules of exponents tell you ...
... (a^b)(a^c) = a^(b+c) . . . . . . applies inside parentheses
... (a^b)^c = a^(b·c) . . . . . . . . applies to the overall expression
The Order of Operations tells you to evaluate inside parentheses first. Doing that, you have ...
... x^(4/3)·x^(2/3) = x^((4+2)/3) = x^2
Now, you have ...
... (x^2)^(1/3)
and the rule of exponents tells you to multiply the exponents.
... = x^(2·1/3) = x^(2/3)
1) 4
2) 16
3) 16
4) 6
5)12
6) 4
Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios

Where:

Substitute these in the above equation


Express as fraction


Cross multiply

Open bracket

Rewrite as:

Expand

Factorize

Factor out x + 284

Split

Solve for x

x can't be negative;
So:

Answer:
36 3/4
Step-by-step explanation:
I understand now why it was wrong. I am so very sorry and I fixed the answer
Volume = L•W•H
3 1/2 • 7 • 1 1/2 = 36 3/4
.75 = 3/4
Answer:
8
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial
being divided by a factor in the form of
, then the remainder of the polynomial is given by
.
We have the polynomial:

And it is being divided by:

We can rewrite our factor as:

Therefore:

Then our remainder will be:

Evaluate:

So, our remainder will be 8.