The answer is: "12.16 10²² " .
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Explanation:
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Given:
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(1.9 10³) (6.4 × 10¹⁸) ; Multiply to find the answer in "scientific notation" ;
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Note:
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(1.9 10³) (6.4 × 10¹⁸) ;
= 1.9 10³ 6.4 10¹⁸ ;
= 1.9 6.4 10³ 10¹⁸ ;
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Note the following property of exponents:
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xᵃ xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
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10³ 10¹⁸ = 10⁽³⁺¹⁸⁾ = 10²¹ ;
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So; we have:
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1.9 6.4 10²¹ ;
= (1.9 6.4) 10²¹ ;
= 12.16 10²¹ ;
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To write a number in scientific notation, there must be a single digit whole number; followed by {a decimal point and any significant figures to the left or right of that number}; multiplied by: 10^(raised to the exponential power of the appropriate positive or negative number).
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So; we have:
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12.16 10²¹ .
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The "12.16" portion becomes: "1.216" ; and the "10²¹ " becomes "10²² "since an extra decimal place has to be moved to the right).
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The answer is: "12.16 10²² " .
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