What is the missing value?
A. −13 B. −5 C. 5 D. 13
A. -13 B. -5 C. 5 D. 13
\(\large { \cfrac{8^\square }{8^{-4}}=8^9 \\ \quad \\ a^{{\color{red} n}} \implies \cfrac{1}{a^{-\color{red} n}} \qquad \qquad \cfrac{1}{a^{-\color{red} n}}\implies \cfrac{1}{\frac{1}{a^{\color{red} n}}}\implies a^{{\color{red} n}} \qquad thus \\ \quad \\ \cfrac{8^\square }{8^{-{\color{red}{ 4}}}}=8^9\implies 8^\square \cdot 8^{\color{red}{ +4}}=8^9\implies \square =? }\)
@jdoe0001 So the answer is?
dunno what did you get?
http://www.math-play.com/image-exponents-rules.jpg <--- notice the 1st rule listed there, use that one
Hold on let check
-5?
-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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