The answer is: 45 10 ⁻¹¹ .
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Explanation:
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Given: (9 10⁻⁵) (5 10 ⁻⁶) ; Simplify.
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(9 10⁻⁵) (5 10⁻⁶) =
9 5 10⁻⁵ 10⁻⁶ =
(9 5) 10⁻⁵ 10⁻⁶
45 10⁻⁵ 10⁻⁶ ;
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Note the following property of exponents:
xᵃ xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
As such, 10⁻⁵ 10⁻⁶ = 10⁽⁻⁵ ⁺ ⁻⁶) = 10 ⁻¹¹ ;
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So; 45 10⁻⁵ 10⁻⁶
= 45 10⁻¹¹ .
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