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Which of the following expressions is equivalent to the one shown below?

713
7⁰
OA. 720
OB. 75
O C. 76
O D. 791

Which of the following expressions is equivalent to the one shown below? 713 7⁰ OA-example-1
User Snifff
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2 Answers

3 votes
(A^m)/(A^n) = A ^ (m-n).
(7^13)/(7^7) = 7 ^(13-7),
7^(6) = 117649
User Joshschreuder
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3.7k points
6 votes

Answer: Option C
\boldsymbol{7^6}

Work Shown:


(7^(13))/(7^(7))\\\\\\7^(13-7)\\\\\\\boldsymbol{7^6}

Subtract the exponents to get the answer. The rule is
(a^(b))/(a^(c)) = a^(b-c). This rule only works when the bases are the same.

User Narae
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4.5k points