Question

Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9? (1 point)
6 over 25

36 over 25

12 over 5

252 over 5

Answer 1

Answer:

Option b) 36 over 25 is correct

That is given expression is equivalent to $\frac{36}{25}$

Step-by-step explanation:

Given expression can be written as below:

$(\frac{7\times 3\times 2}{7\times 5})^2\times \frac{7^0}{5^{-3}}\times 5^{-9}$

To find the value of given expression:

$(\frac{7\times 3\times 2}{7\times 5})^2\times \frac{7^0}{5^{-3}}\times 5^{-9}=(\frac{6}{5})^2\times (\frac{1}{5^{-3}})^3\times \frac{1}{5^9}$

$=(\frac{6}{5})^2\times (5^3)^3\times \frac{1}{5^9}$

$=\frac{36}{25}\times 5^9\times \frac{1}{5^9}$

$=\frac{36}{25}$

Therefore $(\frac{7\times 3\times 2}{7\times 5})^2\times \frac{7^0}{5^{-3}}\times 5^{-9}=\frac{36}{25}$

Option b) 36 over 25 is correct

That is given expression is equivalent to $\frac{36}{25}$