Question

Simplify 2 to the fifth power over 3 squared all raised to the fourth power. 2 to the twentieth power over 3 to the eighth power 2 to the ninth power over 3 to the eigth power 8 to the fifth power over 12 squared 2 over 3 squared

Answer 1

2 to the fifth power over 3 squared all raised to the fourth power

`\left((2^5)/(3^2)\right)^4=((2^5)^4)/((3^2)^4)=(2^(5\cdot4))/(3^(2\cdot4))=(2^(20))/(3^8)`

Answer: 2 to the twentieth power over 3 to the eighth power

Used:

`\left((a)/(b)\right)^n=(a^n)/(b^n)\\\\(a^n)^m=a^(n\cdot m)`