Which of the following is developed to be equivalent to 1/8^5?(1 point)
Responses
8^5
5−^8
8−^5
8^1/5
God, I hate these bots
For the Negative Integer Exponents quick check:
1. Which of the following is developed to be equivalent to 1/8^5?
Answer: 8^-5
2. Which of the following is equivalent to 6^-2?
Answer: 1/36
3. Which of the following is an equivalent expression to 13^-5 • 13^-11 with only positive exponents, generated by applying the properties of exponents?
Answer: 1/13^16
4. Which of the following is an expression to 14^-7/9^13 with only positive exponents, generated by applying the Property of Negative Integer Exponents?
Answer: 9^13/14^7
5. Which of the following is an equivalent expression to 7^3/25^-4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?
Answer: 7^3•25^4
8^(-5)
Which of the following is equivalent to 6^-2
To determine which option is equivalent to 1/8^5, we need to simplify the expression 1/8^5.
First, let's simplify the denominator 8^5. To do this, we need to know that when we raise a number to a negative exponent, it becomes the reciprocal of the number raised to the positive exponent. In other words, x^(-a) is equal to 1/x^a.
So, 8^(-5) is equal to 1/8^5.
Therefore, the correct option is 8^(-5).
To determine which option is equivalent to 1/8^5, we need to understand the rules of exponents. The rule states that when you have a number raised to a negative exponent, it is equivalent to the reciprocal of the number raised to the positive exponent.
Let's apply this rule to each of the options given:
1. 8^5: This is not equivalent to 1/8^5 as it is the positive exponent of 8, not the reciprocal.
2. 5−^8: This option seems to have been written incorrectly. However, if we assume it is meant to be 5^(-8), it is not equivalent to 1/8^5.
3. 8−^5: Again, this option is not written correctly. Assuming it is meant to be 8^(-5), it is not equivalent to 1/8^5.
4. 8^1/5: This option is the only one that follows the correct rules of exponents. It represents the fifth root of 8 raised to the power of 1. However, it is not equivalent to 1/8^5.
Based on the analysis, none of the given options are equivalent to 1/8^5.