Question

3^-5 x 10^-5 x 125/6^-5 x 6^-5 simplify​

Answer 1

Step-by-step explanation:

3^-5 x 10^-5 x 125/6^-5 x 6^-5

Reduce the expression with $6 { }^{ - 5}$

= ${3}^{ - 5 \times {10}^{ - 5} } \times 125$

Express with a positive exponent using ${a}^{ - n } = \frac{1}{ {a}^{n} }$

$= \frac{1}{ {3}^{5} } \times {10}^{ - 5} \times 125$

$= \frac{1}{ {3}^{5} } \times \frac{1}{ {10}^{5} } \times 125$

Calculate the product

= $\frac{125}{ {30}^{5} }$

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