Question

Which of the following option is the simplest form of $6^3\times 6^4?$

• A. ${36}^{12}$
• B. $6^{12}$
• C. $6^7$
• D. ${36}^7$

Answer 1

The correct option is C $6^7$

• When the exponents with the same base are multiplied, the powers are added, i.e., $a^m\times a^n=a^{(m+n)}$

Simillarly, $6^3\times 6^4=6^{(3+4)}=6^7$

Therefore, option (c.) is the correct one.