Question

PLEASE HELP will give brainlist Which value is equivalent to 7 multiplied by 5 multiplied by 2 whole over 7 multiplied by 3, the whole raised to the power of 2 multiplied by 5 to the power of 0 over 2 to the power of negative 3, whole to the power of 3 multiplied by 2 to the power of negative 9?
10 over 9

20 over 3

100 over 9

700 over 3

Answer 1

Answer:

  100/9

Step-by-step explanation:

An exponent outside parentheses applies to each factor inside parentheses. Anything (except 0) to the 0 power is 1. Identical numerator and denominator factors cancel in the usual way.

$\left(\dfrac{7\cdot 5\cdot 2}{7\cdot 3}\right)^2\left(\dfrac{5^0}{2^{-3}}\right)^3\cdot 2^{-9}=\dfrac{10^2}{3^2}\cdot\dfrac{2^{-9}}{2^{-9}}\\\\=\dfrac{100}{9}$