Answer:
16
Step-by-step explanation:
Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:
![64^\frac{2}{3} = \sqrt[3]{64^{2}}\\](https://tex.z-dn.net/?f=64%5E%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Csqrt%5B3%5D%7B64%5E%7B2%7D%7D%5C%5C)
As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.
![64^\frac{x}{y} = \sqrt[y]{64^{x}}](https://tex.z-dn.net/?f=64%5E%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Csqrt%5By%5D%7B64%5E%7Bx%7D%7D)
Both the original problem (64^2/3) and the converted formula can be put into a calculator.
<u>Simplify (if you want to)</u>
<u />![\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%5E%7B2%7D%7D%5C%5C%5Csqrt%5B3%5D%7B4096%7D%5C%5C16)
<u />
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64 to the power of 2/3 is 16.
Answer:
(x + 2)²(x - 3)² = 0
Step-by-step explanation:
Since we have a degree of 2 and double of the same roots, we know that each root would have a multiplicity of 2. Therefore, our answer is(x + 2)²(x - 3)² = 0
Answer:
B. 54π
Step-by-step explanation:
Surface area of cylinder = 2πrh + 2πr²
Radius = 3 cm
Height = 6 cm
Plug in the values
Surface area of the cylinder = 2*π*3*6 + 2*π*3²
Surface area = 36π + 18π
Surface area = 54π
Remember that all the interior angles of a triangle add up to 180°.
The picture tells us two of the angles,
which is 40° and
which is also 40°.
Subtract the measurement of these two angles from 180° to find the measure of the third angle,
:
180° - 40° - 40° = 100°.
The measure of angle RST is 100°.
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Answer: 100°
Answer:
304.75 inches
Step-by-step explanation:
Total distance = 101 feet 7 inches
Recall :
1 Feet = 12 inches
Total distance in inches = (101 * 12) + 7 = 1219 inches
Perimeter of square = 1219
Sides of a square are always equal
Number of sides = 4
Hence, length of each side = 1219 inches / 4 = 304.75 inches
