To write \( 6.6546 \times 10^3 \) in standard form, you simply express it as a decimal number. The exponent \(10^3\) indicates that you need to move the decimal point 3 places to the right.
Starting with \(6.6546\):
- Move the decimal point 3 places to the right:
- After one move: \( 66.546 \)
- After two moves: \( 665.46 \)
- After three moves: \( 6654.6 \)
So, \( 6.6546 \times 10^3 \) in standard decimal form is \( 6654.6 \).