Question

(3 ^ 7 * 9 ^ 3 * 5 ^ 4)/(9 * 9 * 15 ^ 3)​

Answer 1

Answer:-

8.0357142857

Answer 2

Answer:

The value is $3645$

Step-by-step explanation:

Given $\frac{3^{7}\times 9^{3}\times 5^{4}}{9\times 9\times 15^{3}}$

We can write $15$ as $5\times 3$ in the denominator,

$\frac{(3^{7}\times 9^{3}\times 5^{4})}{9\times 9\times 15^{3}}= \frac{(3^{7}\times 9^{3}\times 5^{4})}{9\times 9\times (5\times 3)^{3}}$

Now, $(5\times 3)^{3} = 5^{3}\times 3^{3}$ $(\because (ab)^{x}=a^{x}\times b^{x})$

$\frac{3^{7}\times 9^{3}\times 5^{4}}{9\times 9\times 15^{3}}=\frac{3^{7}\times 9^{3}\times 5^{4}}{9^{2}\times 5^{3}\times 3^{3}}$

$\frac{3^{7}\times 9^{3}\times 5^{4}}{9\times 9\times 15^{3}}= 3^{4}\times 9\times 5$

$\frac{3^{7}\times 9^{3}\times 5^{4}}{9\times 9\times 15^{3}}= 3645$