Yes; I can help. The answer is: 4 * 10⁻¹⁰ .
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Step-by-step explanation:
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Given: "Write: "(8*10⁻⁵)(5*10⁻⁶)" in scientific notation.
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→ (8*10⁻⁵)(5*10⁻⁶) = 8 * 10⁻⁵ * 5 * 10⁻⁶
= 8 * 5 * 10⁻⁵ * 10⁻⁶
= 40 * 10⁽⁻⁵⁾⁺⁽⁻⁶⁾ ;
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Note the following property of exponents:
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→ xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
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So, we have:
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→ 40 * 10⁽⁻⁵⁾⁺⁽⁻⁶⁾ = 40* 10⁻¹¹ ;
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= 4 * 10⁻¹⁰ .
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