Final answer:
The result of (4.5×10⁷) × (6.8×10²) is 30.6×10⁹ in scientific notation, which can be adjusted to 306x10⁷. The correct answer is option c: 306x10⁷.
Step-by-step explanation:
The result of (4.5×107) × (6.8×102) can be found by first multiplying the significant figures (the numbers in front of the exponents) and then adding the exponents according to the rules of multiplication in scientific notation.
- First, multiply the significant figures: 4.5 × 6.8 = 30.6
- Next, add the exponents: 107 + 102 becomes 107+2, which is 109.
- So, the answer in scientific notation is 30.6 × 109.
We can also adjust this to standard form: 306 × 107 as, by moving the decimal point one place to the right, we decrease the exponent by one.
Therefore, the correct answer is 306×107 which corresponds to option c: 306x107.