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:
13.695 m
Step-by-step explanation:
The assumption made here is that the boat/water interface is essentially frictionless, so that the center of mass of the system remains in the same place as the occupant of the boat moves around.
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We can find the sum of the moments of boat and child about the pier end:
(46 kg)(7.6 m) + (80 kg)((7.6 +9.6/2) m) = 1341.6 kg·m
After the child moves, the center of mass of boat and child is presumed to remain in the same place. If x is the new distance from the pier to the child, the sum of moments is now ...
46x +80(x-4.8)* = 1341.6
126x -384 = 1341.6
x = (1341.6 +384)/126 = 13 73/105 ≈ 13.695 . . . meters
The child is about 13.695 meters from the pier when she reaches the far end of the boat.
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* The center of mass of the boat alone is half its length closer to the pier than is the child, so is located at x-4.8 meters.
2.50+2.25x
9.25=2.50+2.25x
each and per indicate a number placed with a variable
9514 1404 393
Answer:
see below
Step-by-step explanation:
I like a spreadsheet for doing repetitive calculations. The matchup is shown in the attachment.
The sale price is 100% - 35% = 65% = 0.65 times the regular price.
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Here, you can also identify the matches by putting the prices in numerical order. The lowest regular price will correspond to the lowest sale price.
regular, sale
3.09, 2.01
3.29, 2.14
3.77, 2.45
4.19, 2.72
You're asking
(10⁶) times (10^p) = 10¹⁸ .
When you multiply two numbers that have the same base
but different exponents, you just add the exponents.
So 6 + p = 18
Subtract 6 from each side: p = 12 .
10⁶ x 10¹² = 10¹⁸ .
