which of the following is developed to be equivalent to 1/8^(5)
8^(-5)
5^(-8)
8^(5)
8 1/5
The correct equivalent expression to 1/8^(5) is 8^(-5).
which of the following is equivalent to 6^(-2)
1/36
1/2^(6)
1/6^(-2)
36
The correct equivalent expression to 6^(-2) is 1/6^(-2).
which of the following is an equivalent expression to 13^(-5) . 13^(-11) with only positive exponents generated by applying the properties of exponents
1/26^(16)
1/13^(6)
1/26^(6)
1/13^(16)
The correct equivalent expression with only positive exponents is 1/13^(16).
which of the following is an equivalent expression to 14^(-7)/9^(-13) with only positive exponents generated by applying the property of negative integer exponents
14^(-7) . 9^(-13)
14^(7)/9^(13)
1/9^(13) . 14^(-7)
9^(13)/14^(7)
The correct equivalent expression with only positive exponents is 9^(13)/14^(7).
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
7^(3)/25
25^(4)/7^(-3)
25^(4)/7^(3)
7^(3) . 25^(4)
The correct equivalent expression with only positive exponents is 7^(3) . 25^(4).
To determine which of the given options is equivalent to 1/8^(5), we need to simplify 1/8^(5) first.
The exponent 5 in the denominator implies that we should take the reciprocal of the base 8 raised to the power of 5.
Reciprocal of a number simply means flipping the fraction, so 1/8^(5) is the same as (1/8)^5.
Now, let's calculate the value of (1/8)^5:
(1/8)^5 = (1^5) / (8^5) = 1/32768
So, 1/8^(5) is equivalent to 1/32768.
Now, let's review the given options and find out which one is equal to 1/8^(5):
8^(-5) means taking the reciprocal of 8^5 (same as 1/8^5). This is not equivalent to 1/8^(5).
5^(-8) means taking the reciprocal of 5^8, which is unrelated to 1/8^(5).
8^(5) is equal to 32768. This is the correct option equivalent to 1/8^(5).
8 1/5 is a mixed number and cannot be compared directly with 1/8^(5).
Therefore, the correct option equivalent to 1/8^(5) is 8^(5).