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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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Exterior Angles and Isosceles Triangles
Ad libitum [116K]

Step-by-step explanation:

this is not an isoceles triangle.

anyway, we need to remember 2 things :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.

so, the internal angle Q is then

180 = 50 + 55 + Q

Q = 180 - 50 - 55 = 180 - 105 = 75°

the exterior angle x at Q is then

180 = Q + x = 75 + x

x = 180 - 75 = 105°

3 0
2 years ago
Read 2 more answers
A palindrome is a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindr
Verdich [7]

Answer:

27

Step-by-step explanation:

Let the 5 digit palindrome formed from 1,2,3,4,5 be represented as XYZXY

Possible outcomes of X are 1,2,3 which give 3 possible outcomes

Possible outcomes of Y are 1,2,3 which also gives 3 possible outcomes

Possible outcomes of Z are 1,2,3 which will give 3 possible outcomes.

The total possible outcome = 3*3*3

= 27

6 0
3 years ago
A right cylinder has a radius of 2 units and height of 5 units.What is the volume of the cylinder? Round to the nearest tenth.
UkoKoshka [18]
V=hpir^2
r=2
h=5
pi≈3.141592

v=5*3.141592*2^2
v=5*3.141592*4
v=20*3.141592
v=62.83185307179586476925286766559
round to tenth
62.8 cubic units
8 0
3 years ago
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Anyone understand how to do this??
Oxana [17]

Answer:

T=-11

Step-by-step explanation:

y2-y1/x2-x1

=t-(-1)/9-10

=t+1/9-10

=t+1/-1

=-11+1/1

=-10/1

=-10

Hope this helps :)

7 0
3 years ago
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Rewrite this expression as an integer: 4^-3 4^5
Zina [86]
4^-3 would be 1/64 since you flip the 4 over when you have a negative power and 4^5 would be 1024 (4 x 4 x 4 x 4 x 4) so your final answer would be 16 
because you have to divide 1024 by 64
5 0
3 years ago
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