How do I simplify 3³×3⁴÷3²

Answers

Answer 1

Answer:

From the exponent's formula, the simplified form of the given question $3^(2) * 3^(4) / 3^(2)$ is 243.

What is the exponent's formula?

Exponents formulas help solve exponents represented by $\rm x^(n)$ multiplying by itself n times. here, x is called the base and n is the exponent or power. $\rm x^(n)$ is read as x raised to the power of n.

The formula required

$\rm a^(x) * a^(y) = a^(x+y)$

$\rm a^(x) / a^(y) = a^(x-y)$

So, by applying the above exponent's formulas

$3^(3) * 3^(4) / 3^(2)\n= 3^(3+4) / 3^(2)\n= 3^(7) / 3^(2)\n= 3^(7-2) \n= 3^(5) \n= 243$

Hence, the simplified form of the given question $3^(2) * 3^(4) / 3^(2)$ is 243.

Learn more about the exponent's formula here:

brainly.com/question/24346604

Answer 2

Answer:

Answer:

3^5

Step-by-step explanation:

3^3*3^4 ÷3^2

27*81÷9

27*9

243=

3^5

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A parachutist's speed during a free fall reaches 135 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that I mile is equal to 5280 feet. Do not round your answers.

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Answer:

198 ft/s speed

99 ft distance

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Help please! absolute value equations!

Answers

Answer:

n = -1 n = -7

Step-by-step explanation:

5| 2n+8| +3 = 33

Subtract 3 from each side

5| 2n+8| +3-3 = 33-3

5| 2n+8| = 30

Divide by 5

5/5| 2n+8| = 30/5

| 2n+8| = 6

An absolute value equation has two solutions, one positive and one negative

2n+8 = 6 2n+8 = -6

Subtract 8 from each side

2n+8-8=6-8 2n+8-8 = -6-8

2n = -2 2n = -14

Divide by 2

2n/2 = -2/2 2n/2 = -14/2

n = -1 n = -7

Divide the following

Answers

Good morning

(-6m^7 + 20m^6) / 2m^4
= (-6m^3 + 20m^2) / 2
Now just divide them
-3m^3 + 10m^2

I hope that's help !

Find the discount if a $69.99 item is on sale for $39.99

Answers

ok so discount is how much you have to minus from the original to get the sale price
69.99=original
39.99=sale price
so
origial-discount=sale
69.99-discount=39.99
subtract 69.99 from both sides
-discount=-30
multiply by -1
discount=30

answer is $30.00

If you wanna find the discount the only thing you should do is to say:
69.99 - 39.99 = $30 :)))
I hope this is helpful
have a nice day

Which concept is used to prove that the opposite sides of a parallelogram are congruent? congruent rectangles similar rectangles congruent triangles similar triangles

Answers

The correct answer is:

Congruent triangles.

Explanation:

Consider the top and bottom sides of the parallelogram parallel lines. The diagonal of the parallelogram would be the transversal.

The diagonal splits each opposite angle into two pieces. Using the diagonal as a transversal means we have two pairs of alternate interior angles; this means each pair is congruent. This gives us two congruent angles in two triangles.

The diagonal of the parallelogram is congruent to itself. This gives us two angles and the side between them; this is the angle-side-angle, or ASA, congruence theorem. This proves that the two triangles are congruent.

Since the two triangles are congruent, the corresponding parts of each triangle would be congruent; this means the opposite sides of the parallelogram are congruent.

I think it's congruent triangles

To solve the problem using these steps, what are thdimensions of the rectangle he should draw?
2 units by 4 units
3 units by 2 units
4 units by 4 units
5 units by 6 units

Answers

Answer:

It’s c 4 units by 4 units

Step-by-step explanation:

Final answer:

The dimensions of the rectangle should be 2 units by 4 units.

Explanation:

The correlation coefficient between x and y is 0.0491, which is very low. This means that there is no linear relationship between x and y. Therefore, it is not possible to use the linear regression model to fit the data.

The other models that you can try are the quadratic, logarithmic, exponential, and power models. To find the best-fitting model, you can calculate the R-squared value for each model. The R-squared value is a measure of how well the model fits the data. The closer the R-squared value is to 1, the better the model fits the data.

Based on the R-squared values, the quadratic model is the best-fitting model. The quadratic model is:

y = -477.38 + 237.66 ln x

The dimensions of the rectangle that the student should draw are 2 units by 4 units.

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