What is the value of 27 to the power 1 by 3?

In mathematics, the exponentiation operator is used to raise a number to a certain power. When we say "27 raised to the power 1 by 3", we are asking for the value of 27 when it is raised to the power of one-third.

To calculate this value, we need to understand that raising a number to a fractional exponent is equivalent to taking the root of that number. In this case, raising 27 to the power of one-third is the same as finding the cube root of 27.

The cube root of a number is the value that, when multiplied by itself three times, gives the original number. In other words, the cube root of 27 is a number that, when cubed, equals 27.

So, what is the value of 27 to the power 1 by 3? The value is 3, because 3 raised to the power of 3 equals 27.

This concept can be applied to other numbers as well. For example, if we were to find the value of 8 raised to the power of one-third, we would need to find the cube root of 8, which is 2. Therefore, 8 to the power of one-third equals 2.

In conclusion, when we raise a number to the power of one-third, we are essentially finding the cube root of that number. This is a useful mathematical concept that allows us to calculate the value of a number when raised to a fractional power.

What is 27 to the power of 1 3?

When we talk about 27 to the power of 1/3, we are referring to finding the cube root of 27. In mathematical terms, the cube root is denoted by the radical symbol (∛), and in this case, it represents finding the number which, when multiplied three times by itself, equals 27.

The cube root of 27 can be expressed as 27^(1/3) or as the radical ∛27. Both notations convey the same mathematical formula.

Calculating the cube root of 27, we need to find a number that, when cubed, equals 27. This can be achieved by taking the third root of 27.

So, the cube root of 27 is approximately 3. Therefore, 27^(1/3) = 3.

To verify this, we can calculate 3 raised to the power of 3, and indeed, it equals 27.

In conclusion, when we ask "What is 27 to the power of 1/3?", we are seeking the cube root of 27, which is 3.

What is the value of to the power 1 by 3?

The value of raising a number to the power of 1/3 is the cube root of that number.

Raising a number to the power of 1/3 is equivalent to finding the number that, when multiplied by itself three times, gives you the original number.

For example, if we want to find the cube root of 8, we need to find a number that, when multiplied by itself three times, equals 8.

In this case, the cube root of 8 is 2, because 2 multiplied by itself three times (2 x 2 x 2) equals 8.

Similarly, if we want to find the cube root of 27, we need to find a number that, when multiplied by itself three times, equals 27.

In this case, the cube root of 27 is 3, because 3 multiplied by itself three times (3 x 3 x 3) equals 27.

So, the value of raising a number to the power of 1/3 is finding the number which, when multiplied by itself three times, gives you the original number.

What is 27 as a single power of 3?

27 can be expressed as a single power of 3 by calculating its cube root. When we take the cube root of 27, the result is 3. This means that 27 is equal to 3 raised to the power of 3.

The expression 27 as a single power of 3 can be written as 3³ or 3 raised to the power of 3. This represents the idea that if we multiply 3 by itself three times, the result is 27.

In exponential notation, 27 as a single power of 3 can be expressed as 3³. The exponent represents the number of times we multiply the base number (3) by itself. In this case, we multiply 3 by itself three times.

By calculating the cube root of 27, we find that it is equal to 3. Therefore, 27 can be written as 3³ or 3 raised to the power of 3. This means that if we multiply 3 by itself three times, the result will be 27.

What is 1 3rd of 27?

When we have a number and want to find out one-third of it, we need to divide that number by 3. In this case, the number is 27. So, to find out one-third of 27, we divide it by 3.

Dividing 27 by 3:

27 ÷ 3 = 9

So, one-third of 27 is 9.

In mathematical terms, we can represent it as:

1/3 * 27 = 9

Therefore, if we want to know what is one-third of 27, the answer is 9.