All categories

4 years ago

What is the simplified value of the exponential expression 16^1/14

1 answer:

4 0

$16=2^4\\\\16^\frac{1}{14}=(2^4)^\frac{1}{14}=2^{4\cdot\frac{1}{14}}=2^\frac{4}{14}=2^\frac{2}{7}=\sqrt[7]{2^2}=\sqrt[7]4$

$\text{used:}\\\\(a^n)^m=a^{n\cdot m}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}$

You might be interested in

In a week, 15 hens laid 75 eggs. what is the unit rate for eggs per hen?

yarga [219]

75 divided by 15 is 5. 5 eggs per hen

8 0

4 years ago

Do you think we would have had a civil war to end slavery if we had not expanded west and taken territory from Mexico? Thinking

drek231 [11]

I think we would have still had the civil war, the civil war was many about freeing the enslaved persons, and the war was mainly between the North and South

7 0

3 years ago

What is the measure of angle PQR

maria [59]

Answer:

30 degrees

Step-by-step explanation:

P+Q+R=180

80+70+Q=180

Q=30

PQR = angle Q

8 0

4 years ago

4. 1 less than twice the square of a number

givi [52]

Answer:

2(x^2)-1

Step-by-step explanation:

The square of a number is just the number squared. We don't know what the number is so I will just say it is x. So we have 2 times x^2. Then we have to minus 1 from that. So 2(x^2)-1.

Hope this helps! :D

5 0

3 years ago

A passenger train traveled 100 miles in the same amount of time it took a freight train to travel 80 miles. The rate of the frei

andreev551 [17]

Answer:

The passenger train traveled at a speed of 25 miles/hour

Step-by-step explanation:

In this question, we are asked to calculate the rate at which a particular passenger train is traveling.

We use the information in the question to answer as follows;

Firstly, we identify that they traveled at the same time but their distances are different. This means that their speed must be different also.

Mathematically, we know that time can be calculated as distance/ time.

Let us say the speed at which the passenger train traveled is x miles per hour. This means that the speed of the freight train which was 5 miles per hour slower would be (x-5) miles per hour.

We know their times are equal;

Hence;

100/x = 80/(x-5)

We cross multiply

100(x-5) = 80x

100x -500 = 80x

100x-80x = 500

20x = 500

x = 500/20

x = 25 miles per hour

6 0

4 years ago