Yes; I can help. The answer is: 4 10⁻¹⁰ .
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Explanation:
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Given: "Write: "(810⁻⁵)(510⁻⁶)" in scientific notation.
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→ (810⁻⁵)(510⁻⁶) = 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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