Which of the following is developed to be equivalent to 1/8^5 ?
Responses
8 1/5
5^−8
8^−5
8^5
The equivalent expression to 1/8^5 is 8^−5.
To find which expression is equivalent to 1/8^5, let's simplify the expression:
1/8^5 = 1/(8*8*8*8*8) = 1/32768
Therefore, the expression 8^−5 is developed to be equivalent to 1/8^5.
To determine which of the given options is equivalent to 1/8^5, we need to simplify the expression 1/8^5 first.
To simplify this expression, we can use the rule of exponents. When a number or variable is raised to a negative exponent, it can be moved to the denominator and become positive. So, 1/8^5 can be rewritten as 1/(1/8^5) = 8^5.
Looking at the options provided, the expression 8^5 is equivalent to 8 raised to the power of 5. Therefore, the correct option is 8^5.