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Mathematics 18 Online
OpenStudy (anonymous):

6^-7 * 6^4 = 6^

OpenStudy (mathstudent55):

You are multiplying two powers with the same base, 6, right?

OpenStudy (mathstudent55):

Here is the rule: \(\large \color{red}{a^m \times a^n = a^{m + n}} \)

OpenStudy (anonymous):

ya

OpenStudy (mathstudent55):

Write the same base, 6, and add the exponents.

OpenStudy (anonymous):

6^-3 right

OpenStudy (mathstudent55):

Correct.

OpenStudy (anonymous):

thank you

OpenStudy (mathstudent55):

Here are the steps: \(6^{-7} \times 6^4 = 6^{-7 + 4} = 6^{-3} \)

OpenStudy (mathstudent55):

You're welcome.

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