Question

Help please!!!!!!!!!!!

Answer 1

The value in the blank that will make the expressions equivalent is 30x⁵

To find the value in the blank, let's represent the value by a , then we can solve by using the laws of indices.

`\frac{6}{ {x}^(4) } = \frac{a}{5 {x}^(9) } \\ a {x}^(4) = 30 {x}^(9) \\ a = \frac{30 {x}^(9) }{ {x}^(4) } \\ a = 30 {x}^(5)`

Therefore the value in the blank is 30x⁵