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