$${{\mathtt{8}}}^{{\mathtt{2\,015}}} \approx \infty$$
The calculator did not help too much anon.
The answer is big but it is not infinity anon :)
Let
$$\\y=8^{2015}\\\\
log(y)=log(8^{2015})\\\\
log(y)=2015log(8)\\\\$$
$${\mathtt{2\,015}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{8}}\right) = {\mathtt{1\,819.726\: \!323\: \!788\: \!766\: \!152\: \!5}}$$
$$\\y=10^{1819.7263237887661525}\\\\
y=10^{1819}*10^{0.7263237887661525}\\\\$$
$${{\mathtt{10}}}^{{\mathtt{0.726\: \!323\: \!788\: \!766\: \!152\: \!5}}} = {\mathtt{5.325\: \!051\: \!211\: \!327\: \!235\: \!4}}$$
so
$$\\8^{2105}\approx 5.32505\times 10^{1819}$$
.$${{\mathtt{8}}}^{{\mathtt{2\,015}}} \approx \infty$$
The calculator did not help too much anon.
The answer is big but it is not infinity anon :)
Let
$$\\y=8^{2015}\\\\
log(y)=log(8^{2015})\\\\
log(y)=2015log(8)\\\\$$
$${\mathtt{2\,015}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{8}}\right) = {\mathtt{1\,819.726\: \!323\: \!788\: \!766\: \!152\: \!5}}$$
$$\\y=10^{1819.7263237887661525}\\\\
y=10^{1819}*10^{0.7263237887661525}\\\\$$
$${{\mathtt{10}}}^{{\mathtt{0.726\: \!323\: \!788\: \!766\: \!152\: \!5}}} = {\mathtt{5.325\: \!051\: \!211\: \!327\: \!235\: \!4}}$$
so
$$\\8^{2105}\approx 5.32505\times 10^{1819}$$