Question

Which expressions are equivalent to the one below? Check all that apply 5^x

Answer 1

5 * 5^(x - 1) ; (15/3)^x ; 15^x / 3^x

Explanation:

From the options, equivalent expressions include :

(15/3)^x

This is the same as ;

(15/3)^x

15 ÷ 3 = 5 ; then to the power of x = 5^x

15^x / 3^x ; since they are both raised to the same power, we can divide directly to obtain :

5^x

5 * 5^(x - 1)

5 = 5^1

5^1 * 5^(x-1)

5^(1 + x - 1) = 5^x