Simplifying Mathematical Expressions
The image shows a mathematical expression that needs to be simplified:
(4X^5)^3 + (2X^3)^4
To simplify this expression, you have to raise each term inside the parentheses to the power outside the parentheses. This is done by raising both the coefficient and the variable to the power. Remember that (a^m)^n = a^(mn) when you raise a power to a power.
(4X^5)^3: Raising 4 to the 3rd power gives 64. Raising X^5 to the 3rd power gives X^(5*3), which is X^15.
(2X^3)^4: Raising 2 to the 4th power gives 16. Raising X^3 to the 4th power gives X^(3*4), which is X^12.
So, the expression simplifies as follows:
(4X^5)^3 + (2X^3)^4 = 64X^15 + 16X^12
That is the simplified form of the expression provided in the image.
