Find the missing exponent.

Question

10_ =100,000,000

Answer 1

To find the missing exponent in the expression \(10^x = 100,000,000\), we need to rewrite \(100,000,000\) in terms of a power of 10.

We can break down \(100,000,000\) as follows:

\[ 100,000,000 = 10^8 \]

Now, we can set the two sides of the equation equal to each other:

\[ 10^x = 10^8 \]

Since the bases are the same, we can equate the exponents:

\[ x = 8 \]

Therefore, the missing exponent is \(8\).