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Lunna [17]
3 years ago
8

Simplify the expression. (z^6)^2=

Mathematics
1 answer:
stich3 [128]3 years ago
5 0

Answer:

z^12

Step-by-step explanation:

(z^6)^2  is equivalent to z^(6·2), or z^12.  Here we have multiplied the exponents 6 and 2 together, obtaining 12.

This obeys the rule of exponents   (z^a)^b = z^(ab).

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PLEASE HELP!! <br> Algebra II
Nutka1998 [239]

Answer:

f(-8) = -512, f(8) = 2

Step-by-step explanation:

Substitute x = -8 and 8 into the function, taking into account the rules of the function.

For x = -8, x < 0 so the value is equal to the cube of -8, which is -512.

For x = 8, x > 0 so the value is equal to the cube root of 8, which is 2.

3 0
3 years ago
Read 2 more answers
Find an equation for the line with the given properties. Perpendicular to the line 7x - 3y = 68; containing the point (8, -8)
Sever21 [200]

Answer:

y=\dfrac{-3}{7}x-\dfrac{32}{7}

Step-by-step explanation:

Given that,

A line 7x - 3y = 68 and containing the point (8, -8).

The equation can be written as :

-3y=68-7x\\\\y=\dfrac{68}{-3}+\dfrac{7x}{3}\\\\y=\dfrac{7x}{3}+(\dfrac{-68}{3})

The slope is :7/3

Line is perpendicular so use m = –3/7

-8=(-\dfrac{3}{7})\times 8+b\\\\-8+\dfrac{3}{7}\times 8=b\\\\b=\dfrac{-32}{7}

So, required equation is :

y=\dfrac{-3}{7}x-\dfrac{32}{7}

6 0
3 years ago
How do mixed numbers work?​
irina [24]

Answer:

A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number. It is partly a whole number. It is partly a fraction.

Step-by-step explanation:

3 0
3 years ago
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A Statue cast a shadow 25 feet long a boy standing next to the statues 4.5 feet tall and casts a shadow that is 3.6 feet long ho
tester [92]
Set up a proportion. Let h = the statue height. h/statue shadow = boy height/boy shadow.

h/25 = 4.5/3.6

Cross multiply and solve for h.
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3 years ago
Bill has a rectangular garden that is 3 1/2 feet by 4 1/2 feet. A bag of fertilizer covers 5 1/4 square feet. What is the minimu
sveta [45]

Answer:

3

Step-by-step explanation:

3.5*4.5=15.75 ft^2

15.75/5.25=3 bags

8 0
3 years ago
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