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2 years ago

Use the properties of rational exponents to simplify the expression.

Mathematics

1 answer:

jeyben [28]2 years ago

8 0

The top is 256 and the bottom is 55.

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Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence

11111nata11111 [884]

The given sequence is not arithmetic sequence

Solution:

Given sequence is:

$\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}$

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

Here in the given sequence

$\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}$

Let us find the difference between terms

$a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}$

$a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}$

$a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}$

$a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}$

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

5 0

2 years ago

Can you square root a negative number? Why or why not?

kicyunya [14]

Yes you can because you just can

5 0

2 years ago

Read 2 more answers

Keisha went into a park at 1:30 pm she hiked for 1 hour 35 minutes. Then she went to the picnic area for 45 minutes and left the

nata0808 [166]

Answer:

3:50pm

Time Keisha went to the park- 1:30pm

Time spent for hiking- 1hour 35 minutes

Time spent at the picnic area- 45 minutes

1: 30pm

+1. 35min

2: 65pm

But 60 minutes is 1 hour so the 65 will be changed to 1 hour 5 minutes making it

3: 05pm

+0: 45min

3: 50pm

Hence the time Keisha left the park was 3:50pm

3 0

2 years ago

Which set of x- and y-values represents a function

dolphi86 [110]

If Im correct I believe the answer is the last one

3 0

2 years ago

Show your smartness by answering the questions! First one to answer gets Brainlest!

shusha [124]

Answer:

3.56*10^13

Step-by-step explanation:

8.9* 10^4 * 4*10^8

Multiply the number out front and then the exponents

8.9 * 4 * 10^4 * 10^8

When we multiply powers when the bases are the same, we add the exponents

35.6 * 10^(4+8)

35.6 *10^12

But this is not in proper scientific notation. Only one digit before the decimal

Move the decimal one place to the left, that means we need to add 1 to the exponent

3.56 *10^(12+1)

3.56 * 10^13

3 0

2 years ago