Rizul N. answered • 11/05/12

UNC-CH Grad For Math and Science Tutor

**3(63t ^{3})^{1/2}**

Simplification would be the correct command here.

**Step 1: **When you have an exponent next to a power that is linked to a parenthesis, it is distributed inside that parenthesis just like when you have the expression 2(x+3) = 2x +6

Remember that exponents multiply when you have an exponent that does not have a base (like 1/2) and it is linked right next to an exponent that does have a base (like 3)

3(63^{1/2}t^{3*1/2}) = **3(63 ^{1/2} t^{3/2})**

**That's all to it. **

Remember that you cannot multiply inside a parenthesis until that exponent is distributed! For example, you cannot multiply 3 and 63 before you raise 63 to the 1/2 power.