Question

simplify using law of exponent ​

Answer 1

Answer:

$\frac{7}{5}$

Answer 2

Answer:

$\frac{3^{5}\times 10^{5}\times 35}{5^{7}\times 6^{5}}=\frac{7}{5}$

Step-by-step explanation:

$\frac{3^{5}\times 10^{5}\times 35}{5^{7}\times 6^{5}}$

$=\frac{3^{5}\times (2\times 5)^{5}\times 5\times 7}{5^{7}\times (2\times 3)^{5}}$

$=\frac{3^{5}\times 2^{5} \times 5^{5}\times 5\times 7}{5^{7}\times 2^{5}\times 3^{5}}$

$=\frac{ 5^{5}\times 5^{1}\times 7 }{5^{7}}$

$= \frac{7}{5^{7-5-1}}\\=\frac{7}{5}$

Therefore,

$\frac{3^{5}\times 10^{5}\times 35}{5^{7}\times 6^{5}}=\frac{7}{5}$

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