The expression is simplified to [tex]16x^4y^{12}[/tex]
Exponents
Exponents are represented in the form of [tex]b^x[/tex] where b is the base and x is the power . Exponential properties are applied to simplify exponential expression .
Given expression to simplify is [tex](2xy^3)^4[/tex]
Apply power property to simplify . Multiply the inside and outside exponents.
Power of power property
[tex](ab^m)^n=a^nb^{mn}[/tex]
Multiply exponent 4 by the terms inside the parenthesis
[tex](2xy^3)^4\\(2^4x^4y^{12})\\16x^4y^{12}[/tex]
Simplified expression is [tex]16x^4y^{12}[/tex]
Learn more about the Exponents here:
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