Question

determine if 'm' (5)^m×(5)^5=(5)^5

Answer 1

(5)^{m+5}= (5)^5
m+5=5
m=5-5
m=0
or Another method
(5)^m =(5)^5/(5)^5
(5)^m= 1 we know that (5)^0= 1 so
(5)^m =(5)^0
m=0

Answer 2

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Here is your answer __________________________________
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Given ,

${5}^{m} \times \: {5}^{5} = \: {5}^{5} \\ \\ we \: know \: \\ \\ when \: the \: bases \: are \: same \: which \\ \: are \: to \: be \: multipied \: then \: the \: powers \\ \: get \: added. \\ \\ {5}^{m \: + \: 5 \: } = \: {5}^{5} \\ \\ whe \: the \: bases \: are \: same \: then \\ \: the \: powers \: are \: also \: same \\ \\ m \: + \: 5 \: = \: 5 \\ \\ m = \: 5 \: - \: 5 \\ \\ m \: = \: 0$
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