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Nata [24]
3 years ago
14

Simplify 4^-4 a) 1/256 b)1/16 c)16 d) 246

Mathematics
2 answers:
allsm [11]3 years ago
7 0

Answer:

The answer is A

Step-by-step explanation:

DanielleElmas [232]3 years ago
3 0

Option A) 1/256

Explanation:

Given the expression

4^{-4}

Negative Exponent Rule:

Negative Exponent Rule,a^{-n}=\frac{1}{a^n}  this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents.

So,  let the Expressions  be K.

K=4^{-4}

K=(\frac{1}{4^4})

K=\frac{1}{256}

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Anarel [89]
Here is the problem.....√(15x + 10) = 2x+3

to remove the square root, we do the opposite which is to square everything.

(√(15x + 10))² = (2x + 3)²      (the square negates the square root)
15x + 10 = (2x +3)(2x + 3)    (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9  (combine like terms)
15x + 10 = 4x² + 12x + 9      (subtract 15x and 10 from each side)
-15x - 10          -15x - 10
0 = 4x² - 3x - 1                      (factor completely)
(x - 1) (4x + 1)                    (set each to equal 0)

x - 1 = 0                4x + 1 = 0
x = 1                      4x = -1
                               x = -1/4

place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.

answer is 1
4 0
3 years ago
A point has: no shape no color no size no physical characteristics all of the above
notka56 [123]
A point is an abstraction to point a location or vertex (intersection of lines). It has no size. Consequently it does not have shape or color or any physical characteristic.

Then the answer is all of the above.
7 0
3 years ago
A river flows at the rate of 12 feet per minute. What is the rate in second per foot?
ASHA 777 [7]
Answer: 1/5 or 0.2 in decimal form.

Explanation:

There are 60 seconds in a minute. We know the river flows 12 ft per 1 minute. So in order to find the rate per seconds, divide: 60/12. You get the answer: 1/5 or 0.2 in decimal form.
4 0
2 years ago
In the figure, find the perimeter of AABC.
erma4kov [3.2K]

Answer:C. 36

Step-by-step explanation: height is 12 base is 9

12^2+9^2= 144+81=225 sq rt of 225 =15

So 12+9+15=36

4 0
3 years ago
Harper knows he is 50 yards from school. The map on his phone shows that the school is 3/4 inch from his current location. How f
yulyashka [42]

Answer:

Harper is 200 yards away from her home if the map shows 3 inches

Step-by-step explanation:

50 yards = 3/4 inch

3 inches = 3/1

3/1 x 4/4 = 12/4

12/4 = 3 inches

50 x 4 = 200

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

6 0
3 years ago
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