Question

Choose the expression that is equivalent to the one shown

Answer 1

`(8^(12))/(4^3)`

1. Rewrite the expression to get the numerator and denominator with the same base:

`((2^3)^(12))/((2^2)^3)=(2^(36))/(2^6)`

2. Divide by leavinfg the same base and subtracting the exponents:

`(2^(36))/(2^6)=2^(36-6)=2^(30)`

Write the result with base 4:

`2^(30)=(2^2)^(30/2)=4^(15)`As you can see above any of the given expression is equivalent to the given expression.Answer: none of these