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erik [133]
3 years ago
15

How do I simplify 1/-5z^-5?

Mathematics
1 answer:
belka [17]3 years ago
3 0
\bf \cfrac{1}{-5z^{-5}}\\\\
-------------------------\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\\ \quad \\
%  negative exponential denominator
a^{{ n}} \implies \cfrac{1}{a^{- n}}
\qquad \qquad 
\cfrac{1}{a^{- n}}\implies \cfrac{1}{\frac{1}{a^{ n}}}\implies a^{{ n}} \\\\
-------------------------\\\\
thus


\bf -\cfrac{1}{5}\cdot \cfrac{1}{z^{-5}}\implies -\cfrac{1}{5}\cdot \cfrac{1}{\frac{1}{z^5}}\implies -\cfrac{1}{5}\cdot \cfrac{\frac{1}{1}}{\frac{1}{z^5}}\implies -
\cfrac{1}{5}\cdot \cfrac{1}{1}\cdot \cfrac{z^5}{1}
\\\\\\
-\cfrac{z^5}{5}
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(2³)² solve this problem
max2010maxim [7]

Answer:

(2^3)^2 = 64

Step-by-step explanation:

Option 1:

Using the following rule:

(a^n)^m = a^{nm}

Put in our expression,

a = 2

n = 3

m = 2

(a^n)^m = a^{nm}

(2^3)^2 = 2^{3*2}=2^6=64

Option 2:

Using the following rule:

a^n * a^m = a^{n+m}

Since our expression is the same as multiplying 2³ with itself, we can write it as a multiplication.

(2^3)^2 = 2^3 * 2^3

If we compare this with a^n * a^m, we can see that

a = 2

n = 3

m = 3 (in this case, n and m are equal)

a^n*a^m = a^{n+m}

2^3*2^3 = 2^{3+3} = 2^6 = 64

Answer: (2^3)^2 = 64

7 0
3 years ago
What is the value of H
never [62]

Answer:

h = 55

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

the 2 unknown interior angles = 180 - 2h ( straight angle ), hence

the sum of the 3 angles

180- 2h + 180 - 2h + 40 = 180

400 - 4h = 180 ( subtract 400 from both sides )

- 4h = - 220 ( divide both sides by - 4 )

h = 55


6 0
3 years ago
Wat is the greatest common factor of 20 and 36
Maru [420]

Answer:

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3 0
3 years ago
Read 2 more answers
If the diameter of an entire coconut is 5 inches, and the coconut meat is 1 inch thick, then there is room for approximately (bl
svetoff [14.1K]
The answer is 14.137 cubic inches.

For this case, the radius of whole coconut is 2.5 inches (which is 5 inches / 2).
You have to subtract the thickness of the coconut from this radius for you to get the volume of the space for coconut milk.

new radius = 2.5 - 1 = 1.5 inches

Volume = (4/3)(pi)(r^3)
= (4/3)(pi)(1.5^3)
= 14.137 cubic inches
6 0
3 years ago
3w-13w= -20???????????
Akimi4 [234]
3w-13w=-20

Combine like terms

-10w=-20

divide both sides by -10

w=2
5 0
3 years ago
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