Simplify. Express your answer using positive exponents. \[ g^{-1} \cdot 10 g^{-1} \cdot 10 g^{0} \] Submit

To simplify the expression \( g^{-1} \cdot 10 g^{-1} \cdot 10 g^{0} \), we start by multiplying the coefficients and combining the exponents of \( g \). First, the coefficients: \[ 10 \cdot 10 = 100. \] Next, we combine the exponents of \( g \): \[ g^{-1} \cdot g^{-1} \cdot g^{0} = g^{-1 + (-1) + 0} = g^{-2}. \] Putting it all together, we have: \[ 100 g^{-2}. \] To express this with positive exponents, we rewrite \( g^{-2} \) as \( \frac{1}{g^2} \): \[ 100 g^{-2} = \frac{100}{g^2}. \] Thus, the final simplified expression is: \[ \boxed{\frac{100}{g^2}}. \]