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4 years ago

What is 1/2 to the 3rd power?

Mathematics

1 answer:

Marina86 [1]4 years ago

7 0

$\frac{1}{2} \ x \ \frac{1}{2} \ x \ \frac{1}{2}= \frac{1}{8}$

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Fractional indices pls help

bulgar [2K]

Answer:

Formula used :

(a^m)^n = a^(m×n)
a^m × a^n = a^(m+n)

$27 \times {9}^{3x} = {3}^{k} \\ {3}^{3} \times { {(3}^{2}) }^{3x} = {3}^{k} \\ {3}^{k} = {3}^{3} \times {3}^{(2 \times 3x)} \\ {3}^{k} = {3}^{3} \times {3}^{6x} \\ {3}^{k} = {3}^{(6x + 3)} \\ \boxed{k = 6x + 3}$

k = (6x+3) is the right answer.

5 0

3 years ago

Factor completely x^3 + 1/8

maksim [4K]

Answer:

((2 x + 1) (4 x^2 - 2 x + 1))/8

Step-by-step explanation:

Factor the following:

x^3 + 1/8

Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:

(8 x^3)/8 + 1/8

(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:

(8 x^3 + 1)/8

8 x^3 + 1 = (2 x)^3 + 1^3:

((2 x)^3 + 1^3)/8

Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):

((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8

1^2 = 1:

((2 x + 1) ((2 x)^2 - 2 x + 1))/8

Multiply each exponent in 2 x by 2:

((2 x + 1) (2^2 x^2 - 2 x + 1))/8

2^2 = 4:

Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8

5 0

3 years ago

Read 2 more answers

On the distant plant, Mathology, a sports area covers 7400 yodels2. How many square deckles would this be if 1 deckle = 75.9 yod

STatiana [176]

Answer:

It would be 97.50 square deckles.

Step-by-step explanation:

Given:

On the distant plant, Mathology, a sports area covers 7400 yodels².

1 deckle = 75.9 yodels.

Now, to get the square deckles.

As given, 1 deckle = 75.9 yodels.

So, to get the square deckles by using conversion factor:

75.9 yodels = 1 deckle.

7400 yodels² = $7400\div 75.9$

= $97.50\ deckels ^2.$

Therefore, it would be 97.50 square deckles.

8 0

4 years ago

There are 3x-2 trees planted in each row of a rectangular parcel of land. If there are a total of 24x-16 trees planted in the pa

Sidana [21]

Since there are 24x-16 total and 3x-2 in each row, we can just divide it to get the number of rows. Since 24/3 and 16/2=8, which is very convenient, we can easily find the number of rows to be 8

6 0

3 years ago

A student takes a multiple choice test with 40 questions. The probability that a student answers a given question correctly is 0

LenKa [72]

Answer:

Step-by-step explanation:

X no of questions student answers is binomial with n =40 and p =0.5

If approximated to normal, X is Normal with

mean = np = 20 and variance = npq = 10

P(X>N) >0.10

We use std normal distribution table to get z value first then convert to x value

$z>-1.28$

So $x>20-1.28(10) = 20-12.8 = 7.2$

This is with continuity correction.

Hence without continuity correction this equals 7.2-0.5 = 6.7

x>6.7

n = 7

6 0

3 years ago