Question

Find the value of m for which 5ᵐ x 5² = 5⁻⁵​

Answer 1

Answer:

5-⁷

Step-by-step explanation:

if bases are same, powers are added. if we subtract 2 from (-5) we will get ( -7) as answer.

Answer 2

Answer:

the answer is m = -7

Step-by-step explanation:

when we have to multiply two numbers containing powers we know that,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

now here base is same which is 5 so after equating the powers we get the value of m.

${5}^{m} \times {5}^{2} = {5}^{ - 5} \\ {5}^{ m+ 2} = {5}^{ - 5} \\ m + 2 = - 5 \\ m = - 5 - 2 \\ m = - 7$