To find the expression that is equivalent to 1/8^5, we need to apply the exponent rule for negative exponents, which states that any non-zero number raised to a negative exponent is equal to the reciprocal of that number raised to the positive exponent.
1/8^5 = (1/8)^5.
Therefore, the expression that is equivalent to 1/8^5 is (1/8)^5.
From the given options, none of them is equivalent to 1/8^5.
Which of the following is developed to be equivalent to 1/8^5
8^5
8 1/5
5^-8
8^-5
3 answers
inncorect
Apologies for the incorrect response. Let's revisit the options:
1. 8^5: This expression represents 8 raised to the power of 5. It is not equivalent to 1/8^5.
2. 8 1/5: This expression represents 8 and one-fifth. It is not equivalent to 1/8^5.
3. 5^-8: This expression represents 5 raised to the power of negative 8. It is not equivalent to 1/8^5.
4. 8^-5: This expression represents 8 raised to the power of negative 5. It is equivalent to 1/8^5.
Therefore, the expression that is equivalent to 1/8^5 is 8^-5.
1. 8^5: This expression represents 8 raised to the power of 5. It is not equivalent to 1/8^5.
2. 8 1/5: This expression represents 8 and one-fifth. It is not equivalent to 1/8^5.
3. 5^-8: This expression represents 5 raised to the power of negative 8. It is not equivalent to 1/8^5.
4. 8^-5: This expression represents 8 raised to the power of negative 5. It is equivalent to 1/8^5.
Therefore, the expression that is equivalent to 1/8^5 is 8^-5.