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3 years ago

What is the simplified form of the expression (6^-4)^-9/6^6?

Mathematics

2 answers:

sertanlavr [38]3 years ago

8 0

Answer:1/6 ^42

Step-by-step explanation:

aleksley [76]3 years ago

6 0

Answer:

$(\frac{1}{1296} )^{\frac{729}{64} }$

Step-by-step explanation:

I am assuming this problem reads $(6^{-4}) ^{-\frac{9}{6}^6 }$

So let's start on the outside and work our way towards the middle
Starting with the $(-\frac{9}{6} )^{6}$ , this can be simplified to $\frac{729}{64}$

Now we have $(6^{-4})^\frac{729}{64}$

Now simplifying what is inside the parenthesis we get $\frac{1}{1296}$
Combining what we have the simplified for of the problem becomes: $(\frac{1}{1296} )^{\frac{729}{64} }$

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9. When the sun makes an angle of o above the horizon, a building casts a shadow 17 feet long

Mkey [24]

Answer:

A. tan 38° = opposite/adjacent

opposite = (tan 38°)(adjacent)

opposite = (0.31)(17 ft)

opposite = 5.27 ft

B. height is = 5.27 ft

4 0

3 years ago

Which of the following is equivalent to 16/3

Neko [114]

Answer:

Step-by-step explanation:

6÷3=2

9÷3=3

combined that is 15/3

so the extra 1 goes back into the fraction

giving us 5 1/3

6 0

2 years ago

Tickets to the fashion show we're $2.50 for adults and $1 for students. The receipts were $674 for 302 tickets sold. How many ad

rodikova [14]

Answer:the number of adults that attended the show is 248

the number of students that attended the show is 54

Step-by-step explanation:

Let x represent the number of adults that attended the show.

Let y represent the number of students that attended the show.

Total number of tickets that were sold is 302. This means that

x + y = 302

Tickets to the fashion show were $2.50 for adults and $1 for students. The receipts for all the tickets were $674. This means that

2.5x + y = 674 - - - - - - - - - 1

Substituting x = 302 - y into equation 1, it becomes

2.5(302 - y) + y = 674

755 - 2.5y + y = 674

- 2.5y + y = 674 - 755

- 1.5y = - 81

y = - 81/- 1.5

y = 54

Substituting y = 54 into x = 302 - y, it becomes

x = 302 - 54 = 248

7 0

4 years ago

PLEASE HELP I DO NOT UNDERSTAND AT ALL AND SHOW YOUR WORK !!

Agata [3.3K]

Answer:

y intercept (-6,0), x-intercept (0,-8) : $y = \frac{-4}{3}x -8$

y intercept (0,-6), x-intercept (-2,0): $y = -3x -6$

y intercept (0,8), x-intercept (1.6,0): $y = -5x + 8$

y intercept (0,7), x-intercept (-1.4,0): $y = 5x + 7$

Step-by-step explanation:

y = mx + b

*note: b is the y intercept

1. y intercept (-6,0), x-intercept (0,-8)

$m = \frac{-8 - 0}{0 - (-6)}= \frac{-8}{6} = \frac{-4}{3}\\y = \frac{-4}{3}x + b\\y = \frac{-4}{3}x -8$

2.y intercept (0,-6), x-intercept (-2,0)

$m = \frac{0 - (-6)}{-2 - 0} = \frac{6}{-2} = -3\\y = -3x + b \\y = -3x -6$

3. y intercept (0,8), x-intercept (1.6,0)

$m = \frac{0 - 8}{1.6 - 0}= \frac{-8}{1.6} = -5\\y = -5x + b\\y = -5x + 8$

4. y intercept (0,7), x-intercept (-1.4,0)

$m = \frac{0 - 7}{-1.4 - 0} = \frac{-7}{-1.4}= 5 \\y = 5x + b\\y = 5x + 7$

6 0

3 years ago

A triangle has vertices at L(2, 2), M(4,4), and N(1,6).

mr Goodwill [35]

Answer:

The rule for the transformation is (x, y) (-x, -y).

The coordinates of L'are (-2,-2).

The coordinates of N'are (-1,-6).

Step-by-step explanation:

Given

$L = (2,2)$

$M = (4,4)$

$N = (1,6)$

$Ro=180$

Required

Select three options

The rule to this is:

$(x,y) \to (-x,-y)$

So, we have:

$L = (2,2)$

$L' =(-2,-2)$

$M = (4,4)$

$M =(-4,-4)$

$N = (1,6)$

$N' = (-1,-6)$

7 0

3 years ago

What is the simplified form of the expression (6^-4)^-9/6^6?​

What is the simplified form of the expression (6^-4)^-9/6^6?