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Brilliant_brown [7]
3 years ago
15

Simplify 25^ - 1/2 Please explain! I know the answer is 1/5 but why?

Mathematics
1 answer:
lisov135 [29]3 years ago
3 0

(25)^{-\frac{1}{2} }

When the exponent is negative, you have to make the number a fraction(1 over the number).

For example:

25^{-2} = \frac{1}{25^{2} }

x^{-1} =\frac{1}{x^{1}  }

This gets rid of the negative, but it leaves the exponent

(25)^{-\frac{1}{2}}  = \frac{1}{25^{1/2}}

When an exponent is a fraction, it is the square root.

For example:

x^{\frac{1}{3}} =  \sqrt[3]{x}

x^{\frac{1}{2}}  =\sqrt{x}

x^{\frac{1}{4}}=\sqrt[4]{x}

So...

\frac{1}{25^{1/2}} = \frac{1}{\sqrt{25}  } = \frac{1}{5}

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Step-by-step explanation:

You can easily check that a complex number z = x + yi times its conjugate x – yi is the square of its absolute value |z|2. Therefore, 1/z is the conjugate of z divided by the square of its absolute value |z|2.

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3 years ago
A car salesman receives $50 for each car sale plus 2% of the purchase price. How much must a car sell for in order for the sales
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We simply take the amount he needs no earn ($500) subtract what he gets for each sale ($50) and divide with the percentage he gets (2% = 0.02)

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8 0
3 years ago
Read 2 more answers
A CD usually sells for $15.00. If the CD is 10% off, and sales tax is 5%, what is the total price of the CD, including tax?
dybincka [34]

Answer:

<em>The total price of the CD is $14.18</em>

Step-by-step explanation:

<u>Percentages </u>

We can compute additive or subtractive percentages by using these formulas. If we have a number X and want to increase it by Y%, then the increase is xY/100. Thus the new value for the number is x+xY/100 or equivalently

X(1+Y/100)

If we want to decrease by Z%, the new value is

X(1-Z/100)

The regular price for a CD is X=$15. The CD is Z=10% off, so the sale price is

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3 years ago
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Answer:

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g(x) =x^2+4x+1 can be rewritten as g(x) =x^2+4x + 4 - 4 +1, where that +4 comes from squaring half of the coefficient of x.

Then we have   g(x) =x^2+4x + 4 - 4 + 1  =>  g(x) = (x + 2)^2 - 3.

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Plot this vertex.  Also, plot the y-intercept (0, g(0) ), which is (0, 1).

This information is enough to permit graphing the function roughly.

6 0
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