vincentphxm74902
Answered

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How would I solve this problem?

How Would I Solve This Problem class=

Sagot :

devishri1977

Answer:

n= 4

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\(a^{m})^{n}=a^{m*n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]7^{7}*7^{5}=\frac{(7^{n})^{4}}{7^{4}}\\\\7^{7+5}=\frac{7^{n*4}}{7^{4}}\\\\7^{12}=\frac{7^{4n}}{7^{4}}\\\\7^{12}=7^{4n-4}[/tex]

Compare the exponents,

4n - 4 = 12     {Add 4 to both sides}

4n = 12 + 4

4n = 16

n = 16/4

n = 4

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