Simplify each expression. Write your answer using a positive exponent.

Question

1
0
6
⋅
1
0
2
⋅
1
0
−
8

=
10
6
⋅10
2
⋅10
−8
=

Answer 1

To simplify the expression \(10^6 \cdot 10^2 \cdot 10^{-8}\), we can use the properties of exponents. Specifically, when multiplying exponential terms with the same base, we add their exponents:

\[ 10^6 \cdot 10^2 \cdot 10^{-8} = 10^{6 + 2 - 8} \]

Now, let's perform the calculations in the exponent:

\[ 6 + 2 - 8 = 8 - 8 = 0 \]

So we have:

\[ 10^{6 + 2 - 8} = 10^0 \]

We know that any non-zero number raised to the power of 0 is equal to 1:

\[ 10^0 = 1 \]

Thus, the simplified expression is:

\[ \boxed{1} \]