Question

calculator not allowed

work out \\((3 \times 10^4) \times (2 \times 10^9)\\)

give your answer in standard form.

Explanation:

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<reasoning>

Group the numerical coefficients and powers of 10

\[
(3 \times 10^4) \times (2 \times 10^9) = (3 \times 2) \times (10^4 \times 10^9)
\]

Multiply the coefficients and apply the laws of indices

\[
3 \times 2 = 6
\]
\[
10^4 \times 10^9 = 10^{4+9} = 10^{13}
\]

Combine into standard form

\[
6 \times 10^{13}
\]
</reasoning>

<answer>
\(6 \times 10^{13}\)
</answer>

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Answer:

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</pre_analysis>

<reasoning>

Group the numerical coefficients and powers of 10

\[
(3 \times 10^4) \times (2 \times 10^9) = (3 \times 2) \times (10^4 \times 10^9)
\]

Multiply the coefficients and apply the laws of indices

\[
3 \times 2 = 6
\]
\[
10^4 \times 10^9 = 10^{4+9} = 10^{13}
\]

Combine into standard form

\[
6 \times 10^{13}
\]
</reasoning>

<answer>
\(6 \times 10^{13}\)
</answer>

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