solve (8x10^-4)^6 without using a calculator. Answer have to be in scientific notation.

Question

unklerhaukus · Answer

$$(8\times10^{-4})^6$$$$=8^6\times10^{-4\times6}$$$$=$$

unklerhaukus · Answer

$$=(2^3)^6\times10^{-4\times6}$$
$$=2^{18}\times10^{-4\times6}$$

radar · Answer

Maybe it was meant to be $$8\times10^{-24}$$ but who knows it might be$$8^{6}\times10^{-24}$$

phi · Answer

using 2^10 = 1024 apprx 1000 or 10^3
we get
$$ 256 \cdot 10^{3-24} \approx  2.6 \cdot 10^{-19} $$

unklerhaukus · Answer

$$=2^{10}\times2^8\times10^{-4\times6}$$$$=1024\times256\times10^{-4\times6}$$$$=(1000\times256+20\times256+4\times256)\times10^{-4\times6}$$$$=(256000+5120+1024)\times10^{-4\times6}$$
$$=(2.56000+0.05120+0.01024)\times10^5\times10^{-4\times6}$$
$$=(2.56000+0.05120+0.01024)\times10^{-4\times6+5}$$
$$=\cdots$$