Answer:
1296
Step-by-step explanation:
(1/6)^-4
6^4/1
1296/1
1296
The simplest form of the algebraic expression is x^-4y^-8/x^12y^-12 (Option B)
<h3>
What is simplification?</h3>
The term simplification is mathematics refers to the depiction of the expression in its lowest possible format. In the simplest form, the expression can not be simplified further.
Now we have the original expression as;
(xy^2/x^-3y^3)
The only possible step in the expansion is to open up the bracket by the laws of indices and we get;
x^-4y^-8/x^12y^-12 (Option B)
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Answer:
<h2>B. 49,062.5 ft²</h2>
Step-by-step explanation:
The formula of an area of a circle:

r - radius
We have the diameter d = 250 ft. We know: d = 2r.
Therefore r = 250 : 2 = 125 ft.
Substitute:


Answer-The vector is
=
7
→
i
−
24
→
j
and the magnitude is
=
25
Explanation:
Let the point
A
=
(
−
2
,
7
)
and
B
=
(
5
,
−
17
)
Then,
−−→
A
B
=
(
5
−
(
−
2
)
−
17
−
7
)
=
(
7
−
24
)
The magnitude of
−−→
A
B
is
∣
∣
∣
∣
∣
∣
−−→
A
B
∣
∣
∣
∣
∣
∣
=
√
(
7
)
2
+
(
−
24
)
2
=
25
Step-by-step explanation: