Question

9 $8^{3} cdot 8$
10 $\frac{5^{10}}{5^{6}}$

Explanation:

Step1: Rewrite 8 as exponent form

$8^3 \cdot 8 = 8^3 \cdot 8^1$

Step2: Apply exponent product rule

$8^{3+1} = 8^4$

Step3: Calculate the final value

$8^4 = 4096$

Step4: Apply exponent quotient rule

$\frac{5^{10}}{5^6} = 5^{10-6}$

Step5: Simplify the exponent

$5^{4}$

Step6: Calculate the final value

$5^4 = 625$

Answer:

$8^3 \cdot 8 = 4096$
$\frac{5^{10}}{5^6} = 625$