Questions: Simplify the expression. 10^6/10^-4 A. 10^-10 B. 10^2 C. 10^-24 D. 10^10

Solution Steps

To simplify the expression \(\frac{10^{6}}{10^{-4}}\), we can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\). By applying this property, we subtract the exponent in the denominator from the exponent in the numerator.

To simplify the expression \(\frac{10^{6}}{10^{-4}}\), we use the property of exponents: \(\frac{a^m}{a^n} = a^{m-n}\). Here, \(m = 6\) and \(n = -4\).

Subtract the exponent in the denominator from the exponent in the numerator: \[ m - n = 6 - (-4) = 6 + 4 = 10 \]

The expression simplifies to: \[ 10^{10} \]

Final Answer