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# question

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(1.8 × 10 to the 3 power)(6.5 × 10 to the 14 power)

Nov 8, 2020

#1
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move around terms first

$$(1.8 \cdot 6.5)(10^3 \cdot 10^{14})$$

$$(1.8 \cdot 6.5)(10^{17})$$ multiply the powers of ten, adding the exponents by the exponent rules

multiply the numbers in front

$$(11.7)(10^{17})$$

almost done, but this is not in correct scientific notation

add one to the exponent so the final answer will have the correct place value

$$1.17 \cdot 10^{18}$$

and that is the final answer

Nov 8, 2020