(3×10^6)(8×10^4)
24×10^10
To multiply numbers in scientific notation, you can simply multiply the coefficients and add the exponents.
In this case, you have:
(3 × 10^6) × (8 × 10^4)
First, multiply the coefficients: 3 × 8 = 24.
Next, add the exponents: 10^6 × 10^4 = 10^(6+4) = 10^10.
Therefore, the result of (3×10^6)(8×10^4) is 24 × 10^10, or simply written as 2.4 × 10^11.
To multiply two numbers written in scientific notation, you need to multiply the coefficients (the numbers in front) and add the exponents.
The coefficients are 3 and 8, so you multiply them: 3 × 8 = 24.
The exponents are 6 and 4, so you add them: 6 + 4 = 10.
Therefore, (3×10^6)(8×10^4) = 24 × 10^10.