+2446 Your question appears to want one to evaluate the expression √(108b)4. Let me try to make it easier so that the calculator is not necessary:
| √(108b)4 | Of course, the square root can also be represented as the power to 1/2. |
| ((108b)4)12 | Using the power rule, we know that (ab)c=ab∗c. Let's apply that. |
| ((108b)4)12=(108b)4∗12=(108b)2 | Now, distribute the exponent. |
| (108b)2=1082∗b2 | Now, let's simplify 108^2 by doing this. |
| 1082=(100+8)(100+8)=10000+800+800+64=11664 | This, to me, is the easiest way to calculate the square of a number without a calculator. What do you think? |
| 11664b2 | This is your final answer. |
