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Step2247 [10]
3 years ago
6

Simplify ( √ 5)(^3 √ 5) the answer will be a wholenumber and a fraction

Mathematics
1 answer:
arlik [135]3 years ago
6 0

Answer:

\sqrt{5}\cdot\sqrt[3]{5} =\sqrt[6]{5^3} \cdot\sqrt[6]{5^2} =\sqrt[6]{5^5} =5^{(5/6)}

Step-by-step explanation:

The rules of exponents apply, even when they are fractional exponents:

a^b\cdot a^c=a^{b+c}\\\\\sqrt[b]{x^a}=x^{(a/b)}

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Find the area of the following figure and write your result in the empty box.<br> ​<br> ​
Sunny_sXe [5.5K]

Answer:

Area = 406

Step-by-step explanation:

First things first: Divide the shape

Here is how I did it:

21 x 16

14 x 5

Now solve:

21 x 16 = 336

14 x 5 = 70

Now add:

336 + 70 = 406

So the area is 406

5 0
2 years ago
What is the Square root of -100
lidiya [134]

Answer:

10i

Step-by-step explanation:

√(-100)

Use the imaginary number rule  i=\sqrt{-1}

√(-1) × √(100)

i × √(10²)

i × 10

= 10i

6 0
3 years ago
Read 2 more answers
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
MariettaO [177]
PART A:

Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.

0.000025 = 2.5×10⁻⁵

PART B:

Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵) 
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger

PART C:

The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer

PART D:

Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter

PART E:

Laws of exponents that are applied in scientific notation is 

xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾

7 0
2 years ago
What are the steps to get 1/7
madreJ [45]

1/7 is your answer. It can't be reduced any further. If there is supposed to be a problem, next time, add it.

8 0
2 years ago
Can anyone help me and explain as well
Citrus2011 [14]

Answer:

3x2-3x+9

Step-by-step explanation:

(h-k)(3)

(X2+1-(x-2))(3)

(x2+1-x+2)(3)

3x2+3-3x+6

3x2-3x+9

6 0
2 years ago
Read 2 more answers
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