Multiply.
8 · (4 × 10⁻⁴)
4 × 10⁻²
4 × 10⁻³
3.2 × 10⁻³
3.2 × 10⁻²
Multiply: 8 · (4 × 10⁻⁴) 4 × 10⁻² 4 × 10⁻³ 3.2 × 10⁻³ 3.2 × 10⁻²
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Multiply.
8 · (4 × 10⁻⁴)
4 × 10⁻²
4 × 10⁻³
3.2 × 10⁻³
3.2 × 10⁻²
To multiply the numbers, follow these steps:
1. Multiply the coefficients: Here, you have 8 and 4.
[
8 times 4 = 32
]
2. Add the exponents: When multiplying numbers in scientific notation, add the exponents of the powers of 10.
– The first term has (10^{-4}) and the second term has (10^{-2}).
[
-4 + (-2) = -6
]
3. Combine the results: Now, put the coefficient and the power of 10 together.
[
32 times 10^{-6}
]
4. Convert to proper scientific notation: We typically express numbers in scientific notation with a coefficient between 1 and 10. So, we need to convert 32 into (3.2):
[
32 times 10^{-6} = 3.2 times 10^{-5}
]
Therefore, the answer is (3.2 times 10^{-5}).
Check the options you have, and if (3.2 times 10^{-5}) is not listed, double-check the calculations or the question specifics. If you need more assistance, feel free to check the extended services page!