Multiply. Write your answer in scientific notation.
(2 × 10⁻⁴)(2 × 10¹)
Answer options:
– 4 × 10⁻³
– 4 × 10⁻²
– 4 × 10⁰
– 4 × 10²
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To multiply the given expressions in scientific notation ((2 × 10^{-4})(2 × 10^{1})), follow these steps:
1. Multiply the coefficients:
[
2 times 2 = 4
]
2. Add the exponents:
[
(-4) + 1 = -3
]
3. Combine them into scientific notation:
[
4 × 10^{-3}
]
So, the answer is (4 × 10^{-3}).
Therefore, the correct answer is:
– 4 × 10⁻³