The calculation "3 times 3 to the 4th power" can be broken down into two steps: first, calculate the 4th power of 3, and then multiply that result by 3.
The 4th Power of 3
To calculate the 4th power of 3, we raise 3 to the power of 4:
3⁴ = 3 × 3 × 3 × 3 = 81
So, the 4th power of 3 is 81.
Multiplying by 3
Now, we multiply 81 by 3:
3 × 81 = 243
Therefore, "3 times 3 to the 4th power" equals 243.
Converting to Fraction Form
To express 243 as a fraction, we can write it as:
243 = 243/1
This is a fraction with a numerator of 243 and a denominator of 1.
Note that this fraction is not in its simplest form, as the numerator and denominator share a common factor of 1. However, it is still a valid fraction representation of the number 243.
Alternative Fraction Representations
Depending on the context, there may be other ways to represent 243 as a fraction. For example:
- 243/1 can be written as 243 ÷ 1 = 243
- 243 can be expressed as a mixed number: 243 = 243 0/1
These alternative representations all refer to the same value, 243.
What is the 4th power of 3?
+The 4th power of 3 is 3 × 3 × 3 × 3 = 81.
How do you calculate "3 times 3 to the 4th power"?
+First, calculate the 4th power of 3 (3⁴ = 81), then multiply the result by 3 (3 × 81 = 243).
What is the fraction form of 243?
+243 can be written as a fraction: 243/1.
Feel free to ask more questions or share your thoughts on this topic!