1 of 51 of 5 Items
Question
Which of the following is developed to be equivalent to 1/8^5?(1 point)
Responses
8^5
8 superscript 5 baseline
5^−8
5 superscript negative 8 baseline
8^−5
8 superscript negative 5 baseline
8^15
8 Start Fraction 1 over 5 End Fraction
1 answer
To determine which expression is equivalent to \( \frac{1}{8^5} \), we can use the rule of exponents that states:
\[ \frac{1}{a^b} = a^{-b} \]
Applying this rule to \( \frac{1}{8^5} \):
\[ \frac{1}{8^5} = 8^{-5} \]
Therefore, the correct option is:
8^−5
