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ANEK [815]
3 years ago
15

Using the laws of indices simplify 625^3/8 ×5^1/2÷ 25​

Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Answer:

1

Step-by-step explanation:

\huge {625}^{ \frac{3}{8} }  \times  {5}^{ \frac{1}{2} }  \div 25 \\  \\ =  \huge {( {5}^{4})}^{ \frac{3}{8} }  \times  {5}^{ \frac{1}{2} }  \div  {5}^{2}  \\  \\  =   \huge{5}^{ \cancel4 \times  \frac{3}{ \cancel8 \:  \:  \red{ \bold 2}} }  \times  {5}^{ \frac{1}{2} }  \div  {5}^{2}  \\  \\   \huge=  {5}^{ \frac{3}{2} }  \times  {5}^{ \frac{1}{2} }  \div  {5}^{2}  \\  \\ \huge=  {5}^{ \frac{3}{2}  + \frac{1}{2}}  \div  {5}^{2}  \\ \\ \huge=  {5}^{ \frac{4}{2}  }  \div  {5}^{2}  \\ \\ \huge=  {5}^{ 2  }  \div  {5}^{2}  \\  \\   \huge=  {5}^{ 2  - 2 }  \\  \\   \huge=  {5}^{ 0 }  \\  \\   \huge=  1

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Answer:

I believe that it is the first one.

Step-by-step explanation:

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3 years ago
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Viefleur [7K]

Answer:

(x - 3)^2 + (y + 1) = 25

Step-by-step explanation:

First find the midpoint of the diameter, because that represents the center of the circle.

                                                                     -1 + 7

The x-coordinate of the midpoint is xm = ---------- = 3

                                                                          2

                                                 2 - 4

and the y-coordinate is ym = ---------- = -1

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And so the center of this circle is at (3, -1).

Use the Pythagorean Theorem to determine the square of the radius:

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And so the equation of this circle is (x - 3)^2 + (y + 1) = 25

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=Factor%3A%20x%5E2-9" id="TexFormula1" title="Factor: x^2-9" alt="Factor: x^2-9" align="absmidd
Bezzdna [24]

Answer:

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Step-by-step explanation:

use formula

a²-b²=(a+b)(a-b)

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Step-by-step explanation:

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goldfiish [28.3K]

Answer:

The radius of the circle is √26.

Step-by-step explanation:

Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.

To find the distance between two points, the following equation should be used:

x^{2} =(x_{A}- x_{C}) ^{2} + (y_{A}- y_{C}) ^{2}

Replacing the numeric values:

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The radius of the circle is √26.

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