Question

Solve

10 to the eighth power divided by 10 to the eighth power
10 to the eighth power divided by 10 to the tenth power 
10 to the fifth power times 10 to the negative fourth power

Answer 1

Let's solve each expression one by one using the rules of exponents.

1. **\(10^8 \div 10^8\)**:
\[
10^8 \div 10^8 = 10^{8-8} = 10^0 = 1
\]

2. **\(10^8 \div 10^{10}\)**:
\[
10^8 \div 10^{10} = 10^{8-10} = 10^{-2}
\]

3. **\(10^5 \times 10^{-4}\)**:
\[
10^5 \times 10^{-4} = 10^{5 + (-4)} = 10^{5 - 4} = 10^1 = 10
\]

So, the final results are:
1. \(10^8 \div 10^8 = 1\)
2. \(10^8 \div 10^{10} = 10^{-2}\)
3. \(10^5 \times 10^{-4} = 10\)