Question

Using exponents, what is the simplified form of the expression 6 to the 5th power times 6 to the 2nd power?

A) 6 to the 7th power
B) 6 to the 10th power
C) 36 to the 7th power
D) 36 to the 10th power

Answer 1

To simplify the expression 6^5 × 6^2, we add the exponents and get 6^7.

Step-by-step explanation:

To simplify the expression 65 × 62, we need to apply the rule of multiplying exponentiated quantities. According to this rule, when multiplying numbers with the same base, we add the exponents. So, in this case, the simplified form of the expression is 65+2 = 67.