The value of the expression ((-3)^4)^2 when simplified is 6561
<h3>What are expressions?</h3>
Expressions are mathematical statements represented by numbers, arithmetic operations and variables
<h3>How to simplify the expression?</h3>
The expression is given as:
((-3)^4)^2
Start by expanding the inner bracket
((-3)^4)^2 = ((-3)*(-3)*(-3)*(-3))^2
Next, we evaluate the product (-3)*(-3)*(-3)*(-3)
This gives
((-3)^4)^2 = (81)^2
Next, expand the exponent
((-3)^4)^2 = (81) * 81
Next, we evaluate the product
This gives
((-3)^4)^2 = 6561
Hence, the value of the expression ((-3)^4)^2 when simplified is 6561
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Answer:
1767.1 inches cubed
Step-by-step explanation:
The volume of a ball, or a sphere, is:
, where r is the radius.
Here, the radius is r = 7.5. So, plug in this value: 
562.5 pi is about 1767.1 inches cubed.
Thus, the volume is 1767.1 inches cubed.
Hope this helps!
Answer: 1 and 3/70
Explanation: Find the least common denominator and then combine like terms. The LCM is 70.
Answer:

Step-by-step explanation:
Slope intercept form:
when
is the slope of the line and
is the y-intercept (the y-coordinate of the point the line crosses the y-axis)
<u>1) Find the slope (</u>
<u>)</u>
when the points are
and 
We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

Simplify the fraction

So far, our equation looks like this:

<u>2) Find the y-intercept (</u>
<u>)</u>
The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.
Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore,
.
Now, this is our final equation after plugging in
and
:

I hope this helps!