Question

$( - 5) {}^x {}^ + { {}^1{} } {} \times ( - 5) {}^5{} = ( - 5) {}^7{}$
please solve this​

Answer 1

The value of x is 1.

Step-by-step explanation:

$( - 5) {}^x {}^ + { {}^1{} } {} \times ( - 5) {}^5{} = ( - 5) {}^7{}$

${( - 5)}^{x + 1 + 5} = {( - 5)}^{7}$

We see that the bases are same. Therefore, we can neglect the bases and count on the exponents.

$x + 6 = 7$

$x = 1$