(7×7)3÷(49×7)3×(2401)2=7x

Solution:

• Rewrite each number as a power of 7.

• (7×7)^3 = (7^2)^3 = 7^6

• (49×7)^3 = (7^2·7)^3 = (7^3)^3 = 7^9

• (2401)^2 = (7^4)^2 = 7^8

• Apply exponent rules for division and multiplication: 7^6 ÷ 7^9 × 7^8 = 7^{6-9+8} = 7^5.

• Therefore the expression equals 7^5, so the exponent x = 5.