Fully simplify and write your answer in exponential form with positive exponents only

Question

1/8^9 * 1/8^4 =

Answer 1

To fully simplify the expression 1/8^9 * 1/8^4, we can combine the bases (8) by adding their exponents:

1/8^9 * 1/8^4 = 1/8^(9+4)

Now, we can simplify the exponent:

1/8^(9+4) = 1/8^13

Therefore, the fully simplified expression, written in exponential form with positive exponents only, is 1/8^13.

Answer 2

z^-9 = 1/z^?

? =

Answer 3

We can solve for the missing exponent by noting that any number raised to the power of -1 is the reciprocal of that number.

So, if we have z^-9, to find the reciprocal, we need the exponent to be positive.

Therefore, ? = 9.

Thus, z^-9 = 1/z^9.