Multiply the powers: \(6^1 \times 6^4\)

To multiply powers with the same base, you can use the property of exponents that states: \[ a^m \times a^n = a^{m+n} \] In this case, we have: \[ 6^1 \times 6^4 \] Applying the property: \[ 6^1 \times 6^4 = 6^{1+4} = 6^5 \] Now, we can calculate \(6^5\): \[ 6^5 = 6 \times 6 \times 6 \times 6 \times 6 \] Calculating step by step: \[ 6 \times 6 = 36 \] \[ 36 \times 6 = 216 \] \[ 216 \times 6 = 1296 \] \[ 1296 \times 6 = 7776 \] Thus, \(6^5 = 7776\). Therefore, the final answer is: \[ 6^1 \times 6^4 = 6^5 = 7776 \]