Question

${5}^{3} \div {25}^{ - 2} = \frac{1}{x}$
​

Answer 1

Answer:

${5}^{ - 7}$

Step-by-step explanation:

$5 ^{3} \div {25}^{ - 2} = \frac{1}{x} \\ = )5^{3} \div ({5}^{2} {)}^{ - 2} = \frac{1}{x } \\ = ) {5}^{3} \div {5}^{ - 4} = \frac{1}{x} \\ = )5 ^{3 - ( - 4)} = \frac{1}{x} \\ ) {5}^{7} = \frac{1}{x} \\ = )x = \frac{1}{ {5}^{7} } \\ = ) x = {5}^{ - 7}$

Hope it helped