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belka [17]
4 years ago
14

Which is the simplified form of n^-6 p^3?

Mathematics
1 answer:
Gala2k [10]4 years ago
7 0

Answer:

The answer is option 3.

Step-by-step explanation:

Given that the Indices Law is,

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

For n^(-6)p³ :

{n}^{ - 6}  \times  {p}^{3}

= \frac{1}{ {n}^{6} }  \times  {p}^{3}

=  \frac{ {p}^{3} }{ {n}^{6} }

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PLEASE, PLEASE HELP!!! WILL MARK BRAINLIEST!!!
Irina18 [472]

Rewrite the original equation as:

Log(4x^2) - log(3yz)

Rewrite log(4x^2) as log(4) + log(x^2)

Rewrite log(4) as 2log(2)

Rewrite log(x^2) as 2log(x)

Separate log(3yz) into 3 logs: log(3), log(y) and log(z)

Now combine them to get:

2log(2) + 2log(x) - log(3) - log(y) - log(z)

5 0
3 years ago
A box contains a 3 nickel, 2 pennies, and 5dimes. Find the probability of choosing first a dime, and then, without replacing the
ElenaW [278]

Answer:

Finding a dime, 5/10

Finding a penny, 2/9

Step-by-step explanation:

add up the total number of coins, 10, and put the number of dimes over it

5/10

add up the total number of coins, 10, and subtract a dime, so there is 9 coins, but 2 pennies so 2/9

8 0
4 years ago
Tad and Janice are installing new wood floors in a house. Tad can install 144 square feet of flooring in three hours. Janice can
solong [7]

Answer:

1.) How many square feet of flooring can Tad install in eight hours? 384 square feet

2.) How many square feet of flooring can Janice install in five hours? 480 square feet

3.) If they each work for 12 hours, how many square feet of flooring can they install? 1,728 square feet.

I hope i helped alot :)

4 0
3 years ago
Read 2 more answers
Cx-5=-
maw [93]
C
Because that is what you do first
3 0
3 years ago
Can you solve this in a good way please
IRINA_888 [86]

Answer:

5/2 x^2y^2

Step-by-step explanation:

( x^2 - 3/5y^2)^2 + (3/4 x^2 + 4/5 y^2)^2 - (5/4x^2 - y^2)^2

=  x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4 - ( 25/16x^4

- 5/2x^2y^2 + y^4)

Distributing the negative over the parentheses:-

=  x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4

- 25/16x^4

+  5/2x^2y^2 - y^4

Bringing like terms together

x^4 + 9/16x^4 - 25/16x^4 - 6/5x^2y^2 + 6/5x^2y^2 +  5/2x^2y^2   +  16/25y^4 + 9/25y^4

- y^4  

Adding like terms:-

= 5/2 x^2y^2  Answer

8 0
3 years ago
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