Question

Which exponential expression is equivalent to the one below? (6.3)5A. (5.6.3)) B. 6.35C. 65.35 D. 95

Answer 1

The given expression is:

`(6\cdot3)^5`

The index 5 indicates that this term is multiplied by itself 5 times:

(6*3)(6*3)(6*3)(6*3)(6*3)

According to the laws of exponents, if you raise to a certain power a term on parentheses, you can distribute said exponent to each term inside the parentheses, symbolically:

`(a\cdot b)^c=a^c\cdot b^c`

Considering this you can rewrite the given exponent as:

`(6\cdot3)^5=6^5\cdot3^5`

So the equivalent expression is C.