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aliina [53]
2 years ago
12

Simplify the expression (6^2)^4

Mathematics
1 answer:
Sedaia [141]2 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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Answer:

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2 years ago
A^2(64a^2-3)/3=27-4a^2/4
frutty [35]
The answer is a = 3/4 = 0.75

First get rid of the paranthesis,
{a}^{2} (64 {a}^{2}  - 3) = 64 {a}^{4} -  3 {a}^{2}
Then set the denominators equal:
\frac{ 256 {a}^{4}  - 12 {a}^{2}}{12}  =  \frac{81 - 12 {a}^{2} }{12}
Then remove the denominators and solve:
256 {a}^{4}  - 12 {a}^{2}  = 81 - 12 {a}^{2}
Eliminate -12a^2 by adding 12a^2 to both sides:
256 {a}^{4}  = 81
Take the fourth root of them or take the square root twice:
\sqrt[4]{256 {a}^{4} }  =  \sqrt[4]{81}   \\  4a = 3
Divide both sides by 4:
a =  \frac{3}{4}  = 0.75
7 0
2 years ago
If 2x^2-5x+7 is subtracted from x^2+2x-11, what is the leading coefficient?
guajiro [1.7K]

Answer:

-1

Step-by-step explanation:

2x² - 5x + 7 is subtracted <em>from </em>x² + 2x - 11, so

(x² + 2x - 11) - (2x² - 5x + 7)

x² + 2x - 11 - 2x² + 5x -7 (Distribute the negative)

-x² + 7x - 18 (Combine like terms)

The leading coefficient is the coefficient of the first term, so it is -1.

3 0
2 years ago
How many real solutions does the system have?<br><br><br> {y=−3x−3y=x2−3x+5
Daniel [21]
The answer is 0
I took the test and got it right i hope this helps someone
5 0
3 years ago
Read 2 more answers
The sum of 3x and 14 equals the difference of 20 and 2x
KonstantinChe [14]

Answer. 17<18

The sum of 3x + 14 equals 17x.

The difference between 20 - 2x equals 18x.

Therefore the equation is not equal to each other.

6 0
3 years ago
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