Simplify: 8² × 8⁸ × 8¹⁸

Given: 8² × 8⁸ × 8¹⁸

According to the law of exponents we have ${\mathrm{a}}^{\mathrm{m}}\times {\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}+\mathrm{n}}$

Therefore, the above expression can be written as,

$8^2\times 8^8\times 8^{18}$

$=8^{(2+8)}\times 8^{18}$

$=8^{10}\times 8^{18}$

$=8^{10+18}$

$=8^{28}$

Therefore, $8^2\times 8^8\times 8^{18}={\mathbf{8}}^{\mathbf{28}}$