Question

1.h) 7¹×7²×7³...×7¹⁰⁰
va rog repede​

Answer 1

Răspuns:

7¹×7²×7³...×7¹⁰⁰=7^(1+2+...+100)

1+2+...+100=100×101/2=50×101=5050

7¹×7²×7³...×7¹⁰⁰=7^5050

Answer 2

Răspuns:

${7}^{1} \times {7}^{2} \times {7}^{3} \times ... \times {7}^{100} = {7}^{1 + 2 + 3 + ... + 100} = {7}^{100 \times (100 + 1) \div 2} = {7}^{100 \times 101 \div 2} = {7}^{10100 \div 2} = {7}^{5050}$