Question

(4.8) to the power 6×(20)to the power 6÷(16×20)to the power6​

Answer 1

Answer:

$\bf\frac{(4.8)^6\times\:(20)^6}{(16\times\:20)^6}=0.000729$

Step-by-step explanation:

$\frac{(4.8)^6\times\:(20)^6}{(16\times\:20)^6}$

Using

$\boxed{a^n\:b^n=(ab)^n}$

$=\frac{(4.8\times\:20)^6}{(16\times\:20)^6}$

$=\frac{(4.8\times\:20)^6}{(320)^6}$

$=\frac{(48\times\:2)^6}{(320)^6}$

Using

$\boxed{\frac{a^n}{b^n}=(\frac{a}{b})^n}$

$=(\frac{48\times\:2}{320})^6$

$=(\frac{3\times\:2}{20})^6$

$=(\frac{3}{10})^6$

$=\frac{729}{1000000}$

$=0.000729$