Which of the following is developed to be equivalent to 1/8^5?

Question

A)8 1/5
B)8^-5
C)5^-8
D)8^5

Answer 1

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 2

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

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