Question

Simplify: (3^-7×10^-8)÷(30)^-10

Answer 1

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Answer 2

Step-by-step explanation:

Given that:Simplify: (3^-7×10^-8)÷(30)^-10

Solution:

$\frac{ {3}^{ - 7} \times {10}^{ - 8} }{ {30}^{ - 10} }$

Multiply and divide the expression by

${3}^{ - 1}$

$\frac{ {3}^{ - 1} \times {3}^{ - 7} \times {10}^{ - 8} }{ {3}^{ - 1} \times {30}^{ - 10} } \\ \\ =\frac{ {3}^{ - 8} \times {10}^{ - 8} }{ {30}^{ - 10} \times {3}^{ - 1} } \\ \\= \frac{ {30}^{ - 8} }{ {30}^{ - 10} \times {3}^{ - 1} } \\ \\ =\frac{1}{ {30}^{ - 2} \times {3}^{ - 1} } \\ \\= 3 \times {30}^{2} \\ \\ = 3 \times 900 \\ \\ \bold{\frac{ {3}^{ - 7} \times {10}^{ - 8} }{ {30}^{ - 10} } = 2700}$

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