Question

10 to the power 100 divided by 6

Answer 1

Step-by-step explanation:

${10}^{100} \div 6 \\ = \frac{ {10}^{100} }{6} \\ = \frac{ {(2 \times 5)}^{100} }{2 \times 3} \\ = \frac{ {2}^{100} \times {5}^{100} }{2 \times 3} \\ \frac{ {2}^{99} \times {5}^{100} }{3} \\ = \frac{ {2}^{99} \times {5}^{99} \times 5 }{3} \\ = \frac{ {(2 \times 5)}^{99} \times 5}{3} \\ = \frac{ {10}^{99} \times 5 }{3}$