Question

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

give your answer in standard form.

Explanation:

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

$$ 6 \times 10^{13} $$

Answer:

\(6 \times 10^{13}\)