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3 years ago

How do you solve ∛216 and explain

Mathematics

1 answer:

Gennadij [26K]3 years ago

5 0

The answer is 6 as 6 x 6 x 6 = 216

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svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

$a^x \times a^y = a^{x+y}$

In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : $a^x = a^y$ ⇒ $x = y$ [∵ Bases are equal on both the sides]

__________________________________________________________

$4 \times 8^{2x+1} = 32^{x+2}$

Lets express it in terms of 2.

$=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}$

$=> 2^2 \times 2^{6x+3} = 2^{5x+10}$

$=> 2^{2 + 6x+3} = 2^{5x+10}$

$=> 2^{6x+5} = 2^{5x+10}$

Here the bases on both the sides are equal. Hence ,

$=> 6x + 5 = 5x + 10$

$=> 6x - 5x = 10 - 5$

$=> x = 5$

6 0

3 years ago

Six Less than four times a number is -70

valkas [14]

The answer is 286

Step-by-step explanation:

70 x 4 = 280 plus 6 equals 286

7 0

2 years ago

P/4+6=8 (show work pls)

slavikrds [6]

Answer:

p = 8

Step-by-step explanation:

$p/4 + 6 = 8\\p/4 + 4 * 6 /4 = 8$

8 0

3 years ago

The first quartile of the dataset {1, 2, 3, 4, 5, 6} is _______. (give your answer as a whole number.

notsponge [240]

The first quartile of the dataset {1, 2, 3, 4, 5, 6} is 2.

Given data set: {1,2,3,4,5,6}

Median of the given data set =3.5

The data set can be split into 2 parts as, {1,2,3} and {4,5,6}. The first quartile is calculated by simply finding the median of the first part of the data set.

Thus, the first quartile is 2.

The quarter divides the distribution into four groups and calculates the range of values above and below the mean.

A quartile separates the dataset into four categories by dividing the data into three points: the lowest, median, and upper quartiles.

The interquartile range, a measurement of variation around the median, is calculated using quartiles.

Learn more about quartiles here:

brainly.com/question/10005803

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5 0

1 year ago

Help me please......................

Zielflug [23.3K]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers