8^9÷ 8^3 =8^98^3→ Law of Exponents (a^ma^n=a^m n) =8^9 3 =8^6 =(512) × (512) =262144 ...

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Exponents with Like Bases

Evaluate 89...

Question

Evaluate $8^{9} \div 8^{3}$

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Solution

$8^{9} \div 8^{3}$
$= \frac{8^{9}}{8^{3}} \to$ Law of Exponents $(\frac{a^{m}}{a^{n}} = a^{m - n})$
$= 8^{9 - 3}$
$= 8^{6}$
$= (512) \times (512)$
$= 262144$

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