Power, in exponents, is defined as the total number of times we use the number in a multiplication. For example, 2 to the power 3 means 2 is multiplied 3 times.
Answer: 27 to the power of 1/3 is 3.
Let's see the solution step by step.
Explanation:
Given: 27 to the power of 1/3 can be written as 27(1/3).
We know that 27 can also be expressed as 33.
27(1/3) = 33(1/3)
Now, we apply the exponent rules, (am)n = amn
So we cancel the common factor of 3
31 = 3
Thus, 27 to the power of 1/3 is 3.
How do you multiply 27 by 1/3? Here we will show you step-by-step how to solve 27 times 1/3, which can be written as follows:
| 27 | x | 1 3 |
Step 1: Setup
First of all, note that 27 is the same as 27/1 since 27 divided by 1 is 27. Therefore, start by setting up the problem like this:
| 27 1 | x | 1 3 |
Step 2: Multiply
Multiply the numerators together (27 x 1 = 27) and multiply the denominators together (1 x 3 = 3) and make it into one fraction like so:
Step 3: Minimize
The greatest common factor of 27 and 3 is 3. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get:
Step 4: Convert
Convert the
improper fraction above to a whole number to get the answer:
That's it! Now you know how to calculate 27 times 1/3.
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How do you multiply 1/3 by 27? Here we will show you step-by-step how to solve 1/3 times 27, which can be written as follows:
Step 1: Setup
First of all, note that 27 is the same as 27/1 since 27 divided by 1 is 27. Therefore, start by setting up the problem like this:
Step 2: Multiply
Multiply the numerators together (1 x 27 = 27) and multiply the denominators together (3 x 1 = 3) and make it
into one fraction like so:
Step 3: Simplify
Simplify the fraction above if possible. Here is the final answer in its simplest form:
That's it folks! Now you know how to calculate 1/3 times 27.
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