SOLUTION: How do I simplify (3a^2b^3)^4. Someone please help me I have a test coming up soon. Thank You, Ty

Question 107137: How do I simplify (3a^2b^3)^4. Someone please help me I have a test coming up soon.
Thank You,
Ty
Found 2 solutions by edjones, bucky:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
When you have an exponent to an exponent multiply the exponents.
(3a^2b^3)^4
=81a^8b^12
Ed
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
To do this problem, you need to raise each of the individual terms inside the parentheses
to the 4th power.
.
In other words:
.
becomes
.
Now you can recognize that is 3*3*3*3 and this product is 81. So you can substitute
81 in place of and the problem is reduced to:
.

.
Next look at . You can get an equivalent form of this by multiplying the exponent
4 by the exponent 2 to get . You can also think of as being
multiplied by itself 4 times and . Substitute this into the
problem and the result is:
.

.
Finally, you can raise to the 4th power by multiplying the exponent 4 times
the exponent 3 to get an exponent 12. So . Think:
.
.
.
Substitute this and you get the answer to the problem as:
.

.
Hope this helps you to understand the problem and how to solve it. Good luck on the test ...
.
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