Question

what is equal to 8^-7

1/8^7
-1/(-8^-7)
8^7
-8^7

Answer 1

To find what is equal to \( 8^{-7} \), we can use the property of exponents that states \( a^{-n} = \frac{1}{a^{n}} \).

So, \( 8^{-7} = \frac{1}{8^{7}} \).

Now, let's consider the options you provided:

1. \( \frac{1}{8^7} \) (This is equal to \( 8^{-7} \))
2. \( -\frac{1}{-8^{-7}} \) (This simplifies to \( \frac{1}{8^{-7}} = 8^7 \); hence, it is not equal to \( 8^{-7} \))
3. \( 8^7 \) (This is not equal to \( 8^{-7} \))
4. \( -8^7 \) (This is also not equal to \( 8^{-7} \))

Therefore, the correct answer is:

**1. \( \frac{1}{8^7} \)**.