Answer: 81a^8b^12
Step-by-step explanation:
When you have an exponent to an exponent multiply the exponents.
(3a^2b^3)^4
=81a^8b^12
Ed
To do this problem, you need to raise each of the individual terms inside the parentheses
to the 4th power.
In other words:
Now you can recognize that 3%5E4 is 3*3*3*3 and this product is 81. So you can substitute
81 in place of 3%5E4 and the problem is reduced to:
.
81%2A%28a%5E2%29%5E4%2A+%28b%5E3%29%5E4
.
Next look at %28a%5E2%29%5E4. You can get an equivalent form of this by multiplying the exponent
4 by the exponent 2 to get a%5E8. You can also think of %28a%5E2%29%5E4 as being a%5E2
