What is the value of 1 raised to the power of any exponent

Answers

Answer 1

Answer: Any exponent of 1 is simply 1 multiplying itself

For example: $1^(5)$ is 1×1×1×1×1

Anything multiplied by 1 is the same number started with and 1 is no exception

So 1 raised to the power of any exponent is 1

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I don’t know how to solve this it’s exponents.

For what values of k do the lines 2x + ky = 3 and kx + 8y = 7 intersect?

Answers

The lines 2x + ky = 3 and kx + 8y = 7 intersect for all values of k except 4 and -4 the answer is R - {4, -4}.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Two linear equations in two variables are:

2x + ky = 3 and

kx + 8y = 7

As we know the condition for the lines to intersect or have unique solutions:

2/k ≠ k/8

After cross multiplication:

k² ≠ 16

k ≠ ±4

The values of k can be anything except 4 and - 4

Thus, the lines 2x + ky = 3 and kx + 8y = 7 intersect for all values of k except 4 and -4 the answer is R - {4, -4}.

Learn more about the linear equation here:

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Answer:

ky=3-2x

y=(3-2x)/k

y=(7-kx)/8

(3-2x)/k=(7-kx)/8

8(3-2x)=(7-kx)k

24-16x=7k-k*kx

24=7k-kkx+16x

24+7k=kkx+16x

24+7k=x(k^2+16)

If a sprinkler water 1/18 of a lawn in 1/3 hour, how much time will it take to water the entire lawn?

Answers

if it waters 1/18 of a lawn in 1/3 hours
then it waters 3/18 or 1/6 of a lawn in 1 hour
then 6 times (1/6) would be the full lawn
so 6 times (1) would be how many hours it would take

so it would take 6 hours

How to write improper fractions 4 2/9

Answers

To convert 4 2/9 to an improper fraction we need to do the following:-

9 × 4 = 36

Now we will add our answer to the back step by the numerator (2).

36 + 2 = 38

So for our improper fraction the numerator will be 39 and the denominator will stay the same, 9.

So lets write our new improper fraction:- $(38)/(9)$

So, $4 (2)/(9)$ as an imporper fraction is $(38)/(9)$

Hope I helped ya!!!!!!!!!!

The fraction as an improper fraction is 38/9