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saul85 [17]
3 years ago
12

Use properties of exponents to rewrite the following expressions as a number or an exponential expression with only one exponen.

Mathematics
1 answer:
mafiozo [28]3 years ago
4 0

Answer:

[(√2)^√2]^√2 = 2¹ = 2

Step-by-step explanation:

Hi there!

Let´s write the expression:

[(√2)^√2]^√2

Now let´s rewrite it using fractional exponents (√2 = 2^1/2):

[(2^1/2)^2^1/2]^2^1/2

Let´s use the following property of exponents: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:

1/2 · 2^1/2 · 2^1/2

Now, let´s use the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ

1/2 · 2^(1/2 + 1/2) = 1/2 · 2¹ = 1

Then, the expression can be written as:

[(√2)^√2]^√2 = 2¹ = 2

Have a nice day!

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The sum of three consecutive odd integers is 17 less than four times the smallest integer. Find the integers.
lisabon 2012 [21]

Answer:

23, 25, 27

Step-by-step explanation:

n + (n+2) + (n+4) = 4n - 17

3n + 6 = 4n - 17

3n - 4n = -17 - 6

-n = -23

n = 23

therefore,

23, 25, 27 are the 3 consecutive odd integers

6 0
3 years ago
If 31,000 citizens died in an automobile accidents in 2015. how many died each hour
stira [4]
Work out the number of hours in  1 year:-

1 year = 365*24 = 8760

So the number dying each hour = 31,000 / 8760 = 3.54 
6 0
4 years ago
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What to do ??<br> i need help please <br> asap <br> one question left
maks197457 [2]

Answer: (x^{\frac{2}{7}})(x^{\frac{3}{5}})

Step-by-step explanation:

If you took the nth root of x, it is the same as raising x to the power of 1/n. Therefore:

\sqrt[7]{x^{2} }  = (x^{2} )^{1/7} = (x^{\frac{2}{7}})\\\sqrt[5]{x^{3} }  = (x^{3} )^{1/5} = (x^{\frac{3}{5}})

And multiply:

(x^{\frac{2}{7}})(x^{\frac{3}{5}})

3 0
4 years ago
There are 800 students in a high school. Two-fifths of the students are freshman, and 3/4 of the upperclassmen (sophomores thru
Vlada [557]

Answer:

1/4 upperclassmen are not involved in enrichment.

Step-by-step explanation:

"3/4 of the upperclassmen (sophomores thru seniors) are involved in an enrichment." That leaves 1/4 upperclassmen students left. Verification: 3/4 + 1/4 = 4/4. 4/4 is also 1 whole.

6 0
3 years ago
In the diagram, mZXYZ = 115° and mZWXY = 45°.
Allushta [10]

Step-by-step explanation:

mXYZ+mXYW=180°(being straight angle)

mXYW =180-115

mXYW=65

now,

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mXWY=180-110

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hope it helps.

4 0
3 years ago
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