what is the value of 10 with a power of 3 times 10 with a power of negetive 5 times 10 with a power of 10/ 10 with a power of 6

Answer 1

To simplify the expression \( 10^3 \times 10^{-5} \times 10^{10} / 10^6 \), we can use the properties of exponents.

1. Combine the powers in the numerator: \[ 10^3 \times 10^{-5} \times 10^{10} = 10^{3 + (-5) + 10} = 10^{3 - 5 + 10} = 10^{8} \]

2. Now, divide by \( 10^6 \): \[ \frac{10^8}{10^6} = 10^{8 - 6} = 10^{2} \]

3. Finally, calculate \( 10^2 \): \[ 10^2 = 100 \]

So, the final value is \( \boxed{100} \).