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Mathematics 8 Online
OpenStudy (anonymous):

What is the missing value?

OpenStudy (anonymous):

A. −13 B. −5 C. 5 D. 13

OpenStudy (anonymous):

A. -13 B. -5 C. 5 D. 13

OpenStudy (jdoe0001):

\(\large { \cfrac{8^\square }{8^{-4}}=8^9 \\ \quad \\ a^{{\color{red} n}} \implies \cfrac{1}{a^{-\color{red} n}} \qquad \qquad \cfrac{1}{a^{-\color{red} n}}\implies \cfrac{1}{\frac{1}{a^{\color{red} n}}}\implies a^{{\color{red} n}} \qquad thus \\ \quad \\ \cfrac{8^\square }{8^{-{\color{red}{ 4}}}}=8^9\implies 8^\square \cdot 8^{\color{red}{ +4}}=8^9\implies \square =? }\)

OpenStudy (anonymous):

@jdoe0001 So the answer is?

OpenStudy (jdoe0001):

dunno what did you get?

OpenStudy (jdoe0001):

http://www.math-play.com/image-exponents-rules.jpg <--- notice the 1st rule listed there, use that one

OpenStudy (anonymous):

Hold on let check

OpenStudy (anonymous):

-5?

OpenStudy (jdoe0001):

-5? hmm did you see the 1st rule listed? \(\bf \cfrac{8^\square }{8^{-{\color{red}{ 4}}}}=8^9\implies 8^\square \cdot 8^{\color{red}{ +4}}=8^9\implies 8^{\square +4}=8^9\implies \square +4=9 \\ \quad \\ \square =?\)

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