Questions: Perform the indicated operation and simplify your answer. 3^7 / 3^3 3^7 / 3^3 = (Type an integer or a simplified fraction.)

Solution Steps

To simplify the expression \(\frac{3^{7}}{3^{3}}\), we can use the properties of exponents. Specifically, when dividing like bases, we subtract the exponents. Therefore, the expression simplifies to \(3^{7-3}\).

To simplify the expression \(\frac{3^{7}}{3^{3}}\), we use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\). Applying this property, we have:

\[ \frac{3^{7}}{3^{3}} = 3^{7-3} \]

Subtract the exponents:

\[ 3^{7-3} = 3^{4} \]

Calculate \(3^{4}\):

\[ 3^{4} = 81 \]

Final Answer