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aliina [53]
3 years ago
12

Simplify the expression (6^2)^4

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

  6^8 = 1,679,616

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

__

Applied to this problem, the rule tells you ...

  (6^2)^4 = 6^(2·4) = 6^8 = 1,679,616

__

Or, you can evaluate the expression according to the Order of Operations:

  (6^2)^4 = 36^4 = 1,679,616

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A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4
Alexandra [31]

Answer:

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value = \frac{x}{2}

So, value of car after depreciation in another 4 years = Half of the value after 4 years = \frac{1}{2}(\frac{x}{2})=\frac{x}{4}

Therefore, final depreciated value after 8 years is \frac{x}{4}.

But, as per question, final depreciated value is $5000. Thus,

\frac{x}{4}=5000\\x=5000\times 4\\x=20000

Therefore, the original price of the car was $20,000.

3 0
3 years ago
Evaluate the expression for the given value of the variable.
MatroZZZ [7]

Answer:

17

Step-by-step explanation:

24/t  + t^2

Let t=3

24/3  + 3^2

8 + 9

17

5 0
3 years ago
Read 2 more answers
PLEASEEEE HURRY!! What MUST be true for a parabola that has a maximum value? (Select all that apply) a.) the leading coefficient
timama [110]

Answer:

B.)

Step-by-step explanation:

that is a characteristic of a maximum value parabola.

4 0
3 years ago
PLS HELP I NEED IT RIGHT NOW
oksian1 [2.3K]
I can’t really see it but it looks like 1
8 0
4 years ago
The sum of 4 consecutive number is 330 what is the sum of the largest and the smallest number
Drupady [299]
X + x + 1 + x + 2 + x + 3 = 330
4x + 6 = 330
4x = 324, x = 81
Smallest number: 81
Biggest number: 81 + 3 = 84
Sum: 81 + 84 = 165
The answer is 165
3 0
3 years ago
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