Use the rules of exponents to evaluate or simplify.write without negative exponents. 1/4^-2=?
1 answer:
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Answer:
4² = 16
Step-by-step explanation:
The applicable rule of exponents is ...
1/a^-b = a^b
So, ...
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<em>Additional comment</em>
If you were to evaluate this using the Order of Operations, you would evaluate the exponent first:
1/4^-2 = 1/(1/16)
Then, you would do the division.
1/(1/16) = 16
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We sometimes find it convenient to manipulate exponential terms to the form with the smallest positive exponents before we begin the evaluation.
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Answer:
<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>Step-by-step explanation:
The complete problem is attached.
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The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face
But there are four triangle faces, so .
Therefore, the area of each triangular face is 66 square inches.
So, the total surface area would be the sum
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Answer:
y = 11.84x - 32.71
Step-by-step explanation:
Here, the given data points,
(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),
Let x represents the input value and y represents the output value,
So, the table that represents the given situation is,
x -3 -1 1 2 4
y -70 -42 -21 -9 14
By the above table,
Let the equation of the line is,
y = bx + a
Where,
n = number of data points = 5,
By substituting the values we get,
a = - 32.70547945 ≈ - 32.71,
b = 11.84246575 ≈ 11.84,
Hence, the equation of line would be,
y = 11.84x - 32.71