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Marat540 [252]
3 years ago
5

What is equal to 64^2/3 a.16 b.42^2/3 c.512 d.1,365^1/3

Mathematics
2 answers:
julia-pushkina [17]3 years ago
7 0
We know that:

64=4\cdot4\cdot4=4^3

so:

64^\frac{2}{3}=(4^3)^\frac{2}{3}=4^\frac{3\cdot2}{3}=4^2=\boxed{16}

Answer a)
Savatey [412]3 years ago
4 0
<span>A:16 is the correct answer.</span>
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Factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z​
Oliga [24]

<u>Part a)</u>

Given the expression

54m^3n\:+\:81m^4n^2

Apply exponent rule:    a^{b+c}=a^ba^c

54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn     ∵ m^4n^2=m^3mnn

Rewrite 81 as 3 · 27

Rewrite 54 as 2 · 27

                             =2\cdot \:27m^3n+3\cdot \:27m^3mnn

Factor out the common term:   27m³n

                              =27m^3n\left(2+3mn\right)      

Therefore,

54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)

<u>Part B)</u>

Given the expression

15x^2y^3z+25x^3y^2z+35x^2y^2z

Apply exponent rule:    a^{b+c}=a^ba^c

15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z

Rewrite as

                                               =3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z

Factor out common term 5y²x²z

                                                =5y^2x^2z\left(3y+5x+7\right)

Therefore,

15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)

8 0
3 years ago
The proceeds of a $7,500.00, 10 percent simple discounted note for 85 days is
SIZIF [17.4K]

Answer:

7325.34

Step-by-step explanation:

5 0
2 years ago
How old am I if 300 reduced by 3 times my age is 39?
Tanzania [10]

Let your age represent X

300-3x=39

x= 87

you are 87 years old

6 0
3 years ago
Compare the following decimals 0.29 0.10 0.1 5.07 5.6
Kay [80]
From least to greatest
0.10, 0.1, 0.29, 5.07, 5.6


I hope this is what you were looking for....
8 0
3 years ago
the population of a town was 650000. Due to an epidemic,the population of the town went down by 12%.Find the current population
Dimas [21]

Answer:

572000

Step-by-step explanation:

The population reduced by 12%, so (100-12)=88% is remaining.

So, 88% of 650000= 0.88 x 650000

= 572000

4 0
3 years ago
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