Solve the following system of linear equations.<br> 3x + 6y = 18<br> - 3x + 6y =

What is the value of the expression i To the power of 1 times I to the power of 2 times I to the power of 3 times I to the power

nalin [4]

Answer:

-1

Step-by-step explanation:

$i^1\cdot i^2\cdot i^3\cdot i^4= \\\\i^{1+2+3+4}= \\\\i^{10}= \\\\-1$

Hope this helps!

6 0

2 years ago

Please help me idk this

d1i1m1o1n [39]

Answer:

105

Step-by-step explanation:

500 goes into 100, 5 times

21 times 5 is 105

So 21/100 is equal to 105/500

Or you can do

500*0.21=105

4 0

2 years ago

Read 2 more answers

Calculate the slope of the line passing through the two colored points below. (1,4) (-1,-1)

leonid [27]

Answer:

Slope = $\frac{5}{2}$

Step-by-step explanation:

We can define the slope as the "change in y values" divided by the "change in x values".

By change in, we mean, 2nd point MINUS the first point values.

The points given is:

(1,4) & (-1,-1)

<u>Change in y value:</u>

-1 - 4 = -5

<u>Change in x value:</u>

-1 -1 = -2

Slope is -5/-2 = 5/2

There is no answer choice. The correct answer is 5/2

6 0

2 years ago

Multiplying Powers with the Same Base

Luda [366]

Applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. $5 \times 5^3 = 5^4$

2. $5 \times 5^3 = 5^4$

3. $5^{-3} \times 5^{-3} = \frac{1}{5^6}$

4. $5^{-4} \times 5^{4} \times 5^0 = 5^0$

5. $5^{7} \times 5^{3} = 5^{10}$

To multiply the powers having the same base, we will apply the product rule for exponents.

<h3>What is the Product Rule for Exponents?</h3>

Base on the product rule for exponents, we have, $a^m \times a^n = a^{m + n} = a^{mn}$ .
In order to find the products of two given numbers that have the same base, the exponents would be added together.

1. $5^6 \times 5^{-4$

Add the exponents together

$5^6 \times 5^{-4} = 5^{(6) + (-4)}$

$5^6 \times 5^{-4} = 5^2$

2. $5 \times 5^3$

Add the exponents together

$5 \times 5^3 = 5^{(1 + 3)}$

$5 \times 5^3 = 5^4$

3. $5^{-3} \times 5^{-3}$

Add the exponents together

$5^{-3} \times 5^{-3} = 5^{(-3) + (-3)$

$5^{-3} \times 5^{-3} = 5^{-6$

$5^{-3} \times 5^{-3} = \frac{1}{5^6}$

4. $5^{-4} \times 5^{4} \times 5^0$

Add the exponents together

$5^{-4} \times 5^{4} \times 5^0 = 5^{(-4) + (4) + (0)$

$5^{-4} \times 5^{4} \times 5^0 = 5^0$

5. $5^{7} \times 5^{3}$

Add the exponents together

$5^{7} \times 5^{3} = 5^{10}$

In summary, applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. $5 \times 5^3 = 5^4$

2. $5 \times 5^3 = 5^4$

3. $5^{-3} \times 5^{-3} = \frac{1}{5^6}$

4. $5^{-4} \times 5^{4} \times 5^0 = 5^0$

5. $5^{7} \times 5^{3} = 5^{10}$

Learn more about product rule of exponents on:

brainly.com/question/847241

5 0

1 year ago

I can walk 2 miles in 1/3 of an hour. How long will it take me to get to the gas station that is 1/2 a mile away?

spin [16.1K]

Answer:

1/12 of an hour, or 5 minutes.

Step-by-step explanation:

Since ½ miles is ¼ of 2 miles, you would divide ⅓ by 4 to get 1/12 hours. That converted to minutes is 5 minutes.

6 0

2 years ago

Solve the following system of linear equations. 3x + 6y = 18 - 3x + 6y = – 18