What is the simplified form of the following expression
(2/3)^3
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To find the simplified form of the expression (2/3)^3, we need to raise 2/3 to the power of 3.
To raise a fraction to a power, we apply the power to both the numerator and the denominator.
The expression becomes:
(2^3) / (3^3)
Simplifying further, we have:
8 / 27
Therefore, the simplified form of the expression (2/3)^3 is 8/27.
The expression
r2h represents the volume of a cylinder with radius r and height h. What is the volume, to the nearest tenth of a cubic inch, of the juice can below? Use 3.14 for ℼ.
Unfortunately, there is no provided image or description of the juice can, so I am unable to determine the values of r (radius) and h (height), which are required to calculate the volume of the can accurately. Please provide the necessary measurements for r and h so that I can assist you in finding the volume of the juice can.
The expression
r2h represents the volume of a cylinder with radius r and height h. What is the volume, to the nearest tenth of a cubic inch, of the juice can below? Use 3.14 for ℼ.
r= 1.2 in
h= 5.3 in
To calculate the volume of the juice can, we can substitute the given values into the formula for the volume of a cylinder:
V = πr^2h
Given that r = 1.2 in and h = 5.3 in, we can plug these values into the formula and calculate the volume:
V = 3.14 * (1.2 in)^2 * 5.3 in
= 3.14 * 1.44 in^2 * 5.3 in
= 21.20864 in^3
To the nearest tenth, the volume of the juice can is approximately 21.2 cubic inches.
To simplify the expression (2/3)^3, we need to raise the numerator and denominator of 2/3 to the power of 3.
(2/3)^3 = (2^3) / (3^3)
2^3 = 2 * 2 * 2 = 8
3^3 = 3 * 3 * 3 = 27
So, the simplified form of (2/3)^3 is 8/27.
To simplify the expression (2/3)^3, we need to raise 2/3 to the power of 3. This means we will multiply the fraction 2/3 by itself three times.
Step 1: Multiply the numerator by itself: 2 * 2 = 4
Step 2: Multiply the denominator by itself: 3 * 3 = 9
Therefore, the simplified form of (2/3)^3 is 4/9.