7^5 • 7^6 as a single exponent

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the numerical values

(7^5)(7^6)

Express the given numerical value as a single exponent.

Solution:

In order to do so, we apply the Laws of Exponent, which states that when two similar numbers with a degree is multiplied with each other, their degree will be added. This can be expressed as,

(a^n)(a^n) = a^(n+n)

=(7^5)(7^6)

=7^(5+6)

= 7^11