Question

Question 1 Multiple Choice Worth 4 points)

Simplify (2^5 / 3^2) ^4

A. 2^20/3^8
B. 2^9/3^8
C. 8^5/12^2
D. 2/ 3^2

Answer 1

`\large\boxed{A.\ (2^(20))/(3^8)}`

Explanation:

`\text{Use}\ \left((a)/(b)\right)^n=(a^n)/(b^n)\ \text{and}\ (a^n)^m=a^(nm).\\\\\left((2^5)/(3^2)\right)^4=((2^5)^4)/((3^2)^4)=(2^((5)(4)))/(3^((2)(4)))=(2^(20))/(3^8)`