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multiply. $(8 \\times 10^{-2})(5 \\times 10^{-2})$ $4 \\times 10^{-2}$ …

Question

multiply.
$(8 \times 10^{-2})(5 \times 10^{-2})$
$4 \times 10^{-2}$ $4 \times 10^{-4}$ $4 \times 10^{4}$ $4 \times 10^{-3}$
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Explanation:

Step1: Multiply the coefficients

$8 \times 5 = 40$

Step2: Multiply the powers of 10

$10^{-2} \times 10^{-2} = 10^{-2 + (-2)} = 10^{-4}$

Step3: Combine and simplify

$40 \times 10^{-4} = 4 \times 10^{-3} \times 10^{-1} = 4 \times 10^{-4}$

Answer:

$4 \times 10^{-4}$