Simplify (3×10-⁴)×(4×10⁶)

Answer 1

To simplify \((3 \times 10^{-4}) \times (4 \times 10^{6})\), you can first separate the coefficients and the powers of 10:

1. Multiply the coefficients: \[ 3 \times 4 = 12 \]

2. Now add the exponents of 10: \[ 10^{-4} \times 10^{6} = 10^{-4 + 6} = 10^{2} \]

3. Combine the results: \[ 12 \times 10^{2} \]

Thus, the simplified form of \((3 \times 10^{-4}) \times (4 \times 10^{6})\) is: \[ 12 \times 10^{2} \]

Alternatively, this can also be written in standard form as: \[ 1200 \]