Which of the following is developed to be equivalent to 1/8exponent5 ?(1 point)

Question

Responses

8 Start Fraction 1 over 5 End Fraction

8exponent-5
8 exponent5

5 exponent−8

Answer 1

To determine which of the given responses is equivalent to \( \frac{1}{8^{5}} \), we can rewrite \( \frac{1}{8^{5}} \) in exponential form.

Using the negative exponent rule, we have:

\[ \frac{1}{8^{5}} = 8^{-5} \]

Now let's review the responses:

1. \( 8 \cdot \frac{1}{5} \)
2. \( 8^{-5} \)
3. \( 8^{5} \)
4. \( 5^{-8} \)

The correct answer is:

\( 8^{-5} \).

Answer 2

you sure

Answer 3

Yes, I am sure. To clarify:

We started with \( \frac{1}{8^{5}} \). Using the property of negative exponents, we know that:

\[ \frac{1}{a^{n}} = a^{-n} \]

Applying this to \( \frac{1}{8^{5}} \):

\[ \frac{1}{8^{5}} = 8^{-5} \]

Among the provided options, the equivalent expression is indeed \( 8^{-5} \).

If you have any further questions or need clarification, feel free to ask!