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2 years ago

How to solve 8 to the power of five thirds

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

4 0

$8^\frac{5}{3}=8^{1\frac{2}{3}}=8^{1+\frac{2}{3}}=8\cdot8^\frac{2}{3}=8\sqrt[3]{8^2}=8\sqrt[3]{64}=8\cdot4=32\\\\Used:\\\\a^n\cdot a^m=a^{n+m}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\---------------------------------\\Other\ method\\\\8=2^3\\\\8^\frac{5}{3}=(2^3)^\frac{5}{3}=2^{3\cdot\frac{5}{3}}=2^5=32\\\\Used:\\\\(a^n)^m=a^{n\cdot m}$

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Subtract 7x-9 from2x^2-11

strojnjashka [21]

Answer:

The answer is: $2x^2-7x-2$

Step-by-step explanation:

we are asked to subtract $7x-9$ from $2x^2-11$

so, $2x^2-11-(7x-9)\\=2x^2-11-7x+9\\=2x^2-7x-2$ .

Hence the desired result is: $2x^2-7x-2$ .

8 0

2 years ago

Read 2 more answers

What is the expression in radical form?<br><br> (4x3y2)310

sertanlavr [38]

Given:

Consider the given expression is

$(4x^3y^2)^{\frac{3}{10}}$

To find:

The radical form of given expression.

Solution:

We have,

$(4x^3y^2)^{\frac{3}{10}}=(2^2)^{\frac{3}{10}}(x^3)^{\frac{3}{10}}(y^2)^{\frac{3}{10}}$

$(4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{6}{10}}(x)^{\frac{9}{10}}(y)^{\frac{6}{10}}$

$(4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{3}{5}}(x)^{\frac{9}{10}}(y)^{\frac{3}{5}}$

$(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{2^3}\sqrt[10]{x^9}\sqrt[5]{y^3}$ $[\because x^{\frac{1}{n}}=\sqrt[n]{x}]$

$(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{8y^3}\sqrt[10]{x^9}$ $[\because x^{\frac{1}{n}}=\sqrt[n]{x}]$

Therefore, the required radical form is $\sqrt[5]{8y^3}\sqrt[10]{x^9}$ .

8 0

3 years ago

The angle between the minute hand and the hour hand of a clock is 90 degrees. What time is it? Justify your answer.

tangare [24]

If it is exactly 90 degrees you are looking for, your answer would be, 3:0:0. Which is 3:00.

3 0

3 years ago

1. Sam knows that his MP3 player has 40% of its battery life left and that the battery

Korolek [52]

Complete question :

Sam knows that his MP3 player has 40% of its battery life left and that the battery

charges by an additional 12 percentage points every 15 minutes. What percent of

the mp3's battery will be charged when Sam and his family leave? If mp3 was plugged in an hour before his family plan to leave.

Answer:

88%

Step-by-step explanation:

Time before leaving = 1hour

Current percentage = 40%

Charge rate = 12% every 15 minutes

Therefore,

Charge rate per minute :

12% / 15 = 0.8% per minute

Charge recieved after one hour (60 minutes) :

0.8% * 60

= 48%

Therefore, total charge after just before leaving is:

Current percentage + percentage received

40% + 48%

= 88%

6 0

2 years ago

Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with

soldier1979 [14.2K]

The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

<h3>Probability</h3>

a. Distribution

X ~ N (20 , 6)

b. P(x ≤24)

= P[(x - μ ) / σ (24 - 20) / 6]

= P(z ≤0.67)

= 0.74857

=0.7486

Hence:

Probability = 0.7486

c. P(21 < x < 26)

= P[(21 - 26)/ 6) < (x - μ ) / σ < (24 - 20) / 6) ]

= P(-0.83 < z < 0.67)

= P(z < 0.67) - P(z < -0.)

= 0.74857- 0.2033

= 0.54527

Hence:

Probability =0.54527

d. Using standard normal table ,

P(Z < z) = 66%

P(Z < 0.50) = 0.66

z = 0.50

Using z-score formula,

x = z× σ + μ

x = 0.50 × 6 + 20 = 23

23 Christmas cards

Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

Learn more about probability here:brainly.com/question/24756209

#SPJ1

8 0

1 year ago