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3 years ago

A music teacher asked 23 students in the band how many hours they practiced playing their

Mathematics

1 answer:

Katen [24]3 years ago

6 0

you are correct. it is skewered left since there are more dots on the left side to the peak.

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Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

2 years ago

Someone thats good at geometry please help asap!

frosja888 [35]

Answer:

x=125

Step-by-step explanation:

∠PAT=180° - ∠ATP - ∠APT

∠PAT=180 - 3x - 3 -4x -4= (173 - 7x)°

3x + 3 + 4x + 4 + 173-7x = 180

⇔x = 125

4 0

2 years ago

Two digits are selected with replacement from the digits 1, 2, 3, and 4.

Helen [10]

6 and 8 I believe is the answer

6 0

2 years ago

X + 5y = -2

love history [14]

Answer:

Hey bestfriends..lol

Ima say the answer is....?!?!?!? B

Step-by-step explanation:

5 0

2 years ago

Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combine

SVEN [57.7K]

Answer:

They are both identical cubes which makes it much easier.

Work out the volume for just one first.

The formula for volume is:

l x w x h

However, since it is a cube, all lengths are the same.

3 x 3 x 3 = 27

Now multiply it by 2 to get the volume of both combined:

27 x 2 = 54.

In short, your answer is 54cm 3

Hope This Helps You!

Good Luck :)

Step-by-step explanation:

8 0

2 years ago