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3 years ago

Which is the simplified form of the expression (6 to the power of -2 times 6 to the power of 5) to the -3rd power?

Mathematics

2 answers:

julsineya [31]3 years ago

7 0

Answer:

B. 1/6^9

Step-by-step explanation:

6^-2 = 1/6^2

1/6^2 * 6^5 = 6^5/6^2 = 6^3

6^(3 * -3) = 6^-9= 1/6^9

mr_godi [17]3 years ago

3 0

Answer:

<h2>B) 1 over (6 to the power of 9)</h2>

Step-by-step explanation:

$\left(6^{-2}\cdot6^5\right)^{-3}\qquad\text{use}\ a^n\cdot a^n=a^{n+m}\\\\=(6^{-2+5})^{-3}=(6^3)^{-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=6^{(3)(-3)}=6^{-9}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{6^9}$

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Please help me im strugeling

Aleksandr [31]

Answer:

Step-by-step explanation:

Use distributive property =====> multiply everything inside the parentheses by 9 to get answer C

6 0

1 year ago

Alex needs to varnish the top And the bottom of a dozen rectangular wooden planks planks are 8 feet long and 3 feet wide each pi

meriva

Answer:

It will cost approximately $16.12 to varnish all the wooden planks.

Step-by-step explanation:

We are given the following in the question:

Number of rectangular planks = 12

Dimension of the rectangular wooden plank:

Length = 8 feet

Width = 3 feet

Area covered by I bottle of varnish = 125 Square feet

Cost of 1 bottle of varnish = 3.50 units

Area of 1 rectangular plot =

$A = \text{Length}\times \text{Width}\\A = 8\times 3\\A = 24\text{ square feet}$

Total area to be covered by varnish =

$= \text{Area of 1 plank}\times 12\times \text{Top area and bottom area}\\=24\times 12\times 2\\=576$

Number of varnish bottles required =

$n = \dfrac{\text{Total area}}{\text{Total area covered by 1 varnish bottle}} = \dfrac{576}{125} = 4.608$

Cost of varnishing =

$=\text{Cost of 1bottle of varnish}\times \text{Number of varnish bottles}\\=4.608\times 3.50\\=\$16.12$

Thus, it will cost approximately $16.12 to varnish all the wooden planks.

6 0

3 years ago

The company is going to choose three rows in each section to win the hats. There are

d1i1m1o1n [39]

answer is D i just took the test and i got it right

3 0

2 years ago

What is the answer to 2+1/6a=-4

igor_vitrenko [27]

$2 + \frac{1}{6} a=-4 \\ \\ 2 + \frac{a}{6} = -4 \\ \\ \frac{a}{6} = -4 - 2 \\ \\ \frac{a}{6} = -6 \\ \\ a = -6 \times 6 \\ \\ a = -36 \\ \\ Answer: \fbox {a = -36}$

8 0

3 years ago

the value of a car when purchased in 2008 was $21,500. It loses 12% of its value every year. What is the value of the car in 201

shusha [124]

Answer: the value of the car in 2019 is $5269

Step-by-step explanation:

It loses 12% of its value every year. This means that the value of the car is decaying exponentially. We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the car after t years.

t represents the number of years.

P represents the initial value of the car.

r represents rate of decay.

From the information given,

P = $21500

r = 12% = 12/100 = 0.12

t = 2019 - 2008 = 11 years

Therefore

A = 21500(1 - 0.12)^11

A = 21500(0.88)^11

A = 5269

6 0

3 years ago