Question

By what number should (-8)^-2 be multiplied so that the poduct may be equal to (-6)^-2 ?​

Answer 1

Answer:

The number is 16/9 .

Step-by-step explanation:

Let the number is x .

According to the question,

$( { - 8})^{ - 2} \times x = ( { - 6})^{ - 2} \\ = > \frac{1}{ ({ - 8})^{2} } \times x = \frac{1}{ ({ - 6})^{2} } \\ = > \frac{1}{64} \times x = \frac{1}{36} \\ = > x = \frac{1}{36} \times \frac{64}{1} \\ = > x = \frac{16}{9}$