Question

Find the value of m such that (-5)^2m-1 = (-5)^5 × (-5)^8​

Answer 1

Answer:

Step-by-step explanation:

Given that,

( - 5 )^2m - 1 = ( - 5 ) ^5 × ( - 5 )^8

( - 5 )^2m -1 = ( - 5 )^5+8 (∵Bases are equal, then powers should be add )

( - 5 )^2m - 1 = ( - 5 )^13

2m - 1 = 13 (∵Bases are equal, then powers should be equal. )

2m = 13 + 1 (∵transposing )

2m = 14

m = 14/2 (∵transposing )

m = 7 is the answer.