How would you simplify [(6t)^2]^6? in expoential notation

Question

How would you simplify [(6t)^2]^6? in exponential notation

Answer 1

[(6t)²]⁶

 

 

Expand everything that is inside bracket.

 

[(6t)(6t)]⁶ =

 

(36t²)⁶

 

Raise the base number to the power of 6 and multiply the exponent of t by the power of 6.

 

(36)⁶  *  t¹² =

 

(6²)⁶  *  t¹² 

 

Multiply the exponent of base number 6 by 2.

 

6¹² * t¹²