Question

Which of the following is developed to be equivalent to 1/8^5?
A)8 1/5
B)8^-5
C)5^-8
D)8^5

Answer 1

Which of the following is equivalent to 6^-2?
A)1/36
B)36
C)1/2^6
D)1/6^-2

Answer 2

To determine which of the options is equivalent to \( \frac{1}{8^5} \), we can rewrite \( \frac{1}{8^5} \) using properties of exponents.

Recall that:

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

Applying this property:

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

Now, looking at the options provided:

A) \( 8^{1/5} \)
B) \( 8^{-5} \)
C) \( 5^{-8} \)
D) \( 8^5 \)

The correct answer is:

**B) \( 8^{-5} \)**

Answer 3

To determine which of the options is equivalent to \( 6^{-2} \), we can use the properties of exponents. Recall that:

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

Thus, we can rewrite \( 6^{-2} \) as:

\[
6^{-2} = \frac{1}{6^2}
\]

Calculating \( 6^2 \):

\[
6^2 = 36
\]

Now we find:

\[
6^{-2} = \frac{1}{36}
\]

Now, let’s look at the options provided:

A) \( \frac{1}{36} \)
B) \( 36 \)
C) \( \frac{1}{2^6} \)
D) \( \frac{1}{6^{-2}} \)

The correct answer is:

**A) \( \frac{1}{36} \)**