Question

What is the value of „m“, if (5²)^m = (5 ‐⁷)² ?
a) 5
b)-2
c-7
d) 2​

Answer 1

${( {5}^{2} )}^{m} = { ({5}^{ - 7}) }^{2} \\ = > {5}^{2m} = {5}^{ - 14} \\ on \: comparing \\ = > 2m = - 14 \\ = > m = - 7$

(c) is correct option.

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Answer 2

Answer:

hey mate ... ur answer is c)-7

pls thank my answer and Mark as brainliest

Step-by-step explanation:

(5^2)^m=(5^-7)^2

5^2m=5^-14

since bases are equal we can equate the powers

2m= -14

m= -7