Question

3 power -7 * 10 power -7 * 125 /5 power -5 * 6 power -6​

Answer 1

Answer:

$\large \dfrac{5}{3}$

Step-by-step explanation:

Given :

$\large \text{ \dfrac{3^{-7}\times10^{-7}\times 125}{5^{-5}\times6^{-6}} }$

Rewrite 125 as 5 × 5 × 5

$\large \text{ \dfrac{3^{-7}\times10^{-7}\times5\times5\times5}{5^{-5}\times6^{-6}} }$

We know that power can be positive by changing its place

$\large \text{Taking example 10^{-2}= \dfrac{1}{10^2} }$

$\large \text{ \dfrac{3^{-7}\times10^{-7}\times5\times5\times5}{5^{-5}\times6^{-6}} }\\\\\\\large \text{Rewrite as}\\\\\\\large \text{ \implies\dfrac{5^{5}\times6^{6}\times5\times5\times5}{3^{7}\times10^{7}} }\\\\\\\large \text{ \implies\dfrac{5\times5\times5\times5\times5\times6^{6}\times5\times5\times5}{3^{7}\times10\times10\times10\times10\times10\times10\times10} }\\\\\\\large \text{ \implies\dfrac{5\times6^{6}}{3^{7}\times2\times2\times2\times2\times2\times2\times2} }$

$\large \text{ \implies\dfrac{5\times6^{6}}{3^{6}\times3} }\\\\\\\large \text{ 3^{6} will get cancel out }\\\\\\\large \implies\dfrac{5}{3}$

Thus we get answer.

Answer 2

Answer: 1=150

Step-by-step explanation:

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