Question

How to write 8^5 x 8^6 as a single power

Answer 1

Explanation:

We know that

`\boxed{\sf a^m* a^n=a^m+n}`

`\sf \: {8}^(5) * {8}^(6) \\ \sf \leadsto \: {8}^(5 + 6) \\ \sf \leadsto {8}^(11)`

`\sf More\;to\: know{\begin{cases}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf(a^m)/(a^n) = a^(m - n)\\\\\bigstar\:\:\sf{(a^m)^n = a^(mn)}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^(m + n)\\\\\bigstar\:\:\sf(1)/(a^n) = a^(-n)\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{(1)/(n)}\end{cases}}`