the expression [tex](2x^3)^3[/tex] millimeters per second , after simplification we get [tex]8x^9[/tex]
Given
The company uses the expression [tex](2x^3)^3[/tex] millimeters per second to calculate the maximum capacity with area [tex]x^3[/tex]
Lets apply the property of exponents to simplify the expression [tex](2x^3)^3[/tex]
We apply power property of exponents.
If we have exponent inside and outside the parenthesis then we multiply it
we distribute outside exponent inside the parenthesis
[tex](a^nb^m)^k=a^{nk}b^{mk}[/tex]
In the given expression , 2 has exponent 1
[tex](2x^3)^3\\(2^1x^3)^3\\2^{1\cdot 3}x^{3 \cdot 3}\\2^3x^9\\8x^9[/tex]
The simplified expression after applying the property is [tex]8x^9[/tex]
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