Answer:
The equation 3^4 x 2^3 = 6^4+3 is incorrect.
To evaluate the left side of the equation, we first simplify each term using exponent rules:
3^4 = 3 x 3 x 3 x 3 = 81
2^3 = 2 x 2 x 2 = 8
So 3^4 x 2^3 = 81 x 8 = 648
To evaluate the right side of the equation, we simplify the exponent first:
6^4+3 = 6^4 x 6^3 = 1296 x 216 = 279936
Therefore, the corrected equation should be:
3^4 x 2^3 = 648 = 6^4 - 288
Notice that 6^4 - 288 is equal to the original value of 279936, but the equation has been written correctly by moving the 3 to the other side of the equation and changing the operation from addition to subtraction.