Which of the following is developed to be equivalent to 1/8 with the power of 5
8 - 5 8 ^ 5 8 1/5 5 - the power of 8
To find the fraction equivalent to 1/8 with the power of 5, you need to use the exponentiation operator.
The correct answer would be (1/8)^5.
To find an expression that is equivalent to 1/8 raised to the power of 5, we need to simplify the options given:
Option 1: 8 - 5 = 3
Option 2: 8 ^ 5 = 32,768
Option 3: 8 = 1/5 = 0.2
Option 4: 5 - the power of 8 = 390,625
Therefore, the expression that is equivalent to 1/8 raised to the power of 5 is 3 (Option 1).
To find the expression that is equivalent to 1/8 raised to the power of 5, we need to simplify the exponentiation process step by step.
First, let's start with the expression 1/8 raised to the power of 5:
(1/8)^5
To simplify this, we need to raise both the numerator and the denominator to the 5th power:
(1^5) / (8^5)
Since any number raised to the power of 1 is equal to the number itself, we can simplify further:
1 / (8^5)
Now, let's evaluate the expression in each given option:
1. 8 - 5: This option does not involve any exponentiation or division, so it is not equivalent to 1/8^5.
2. 8 ^ 5: This option raises 8 to the 5th power, which is not equivalent to 1/8^5.
3. 8: This option is simply the number 8, which is not equivalent to 1/8^5.
4. 1/5: This option does not involve any exponentiation or division with 8, so it is not equivalent to 1/8^5.
5. 5 - the power of 8: This option subtracts the number 8 from 5, which is not equivalent to 1/8^5.
Therefore, none of the given options is the expression that is equivalent to 1/8^5.