Fully simplify. 4x^(4)y^(2)(4xy^(4)) Answer:

Write Expression: Write down the expression to be simplified. The expression given is 4x^(4)y^(2)(4xy^(4)).Distribute Exponents: Distribute the exponents across the terms inside the parentheses. Using the distributive property of exponents, we multiply the exponents of like bases when multiplying two powers with the same base. (4x^(4)y^(2))(4xy^(4)) = 4*4 * x^(4+1) * y^(2+4)Perform Multiplication: Perform the multiplication of the coefficients and add the exponents of like bases. 4*4 = 16 x^(4+1) = x^5 y^(2+4) = y^6 So, the expression becomes 16x^5y^6.Final Simplified Expression: Write down the final simplified expression. The fully simplified form of the expression is 16x^5y^6.

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Fully simplify.

4x^(4)y^(2)(4xy^(4))
Answer:

Fully simplify. $\newline$ $4 x^{4} y^{2}\left(4 x y^{4}\right)$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

Full solution

Q. Fully simplify.

\newline

4 x^{4} y^{2}\left(4 x y^{4}\right)

\newline

Answer:

Write Expression: Write down the expression to be simplified. $\newline$ The expression given is $4x^{4}y^{2}(4xy^{4})$ .
Distribute Exponents: Distribute the exponents across the terms inside the parentheses. $\newline$ Using the distributive property of exponents, we multiply the exponents of like bases when multiplying two powers with the same base. $\newline$ $(4x^{4}y^{2})(4xy^{4}) = 4\cdot4 \cdot x^{4+1} \cdot y^{2+4}$
Perform Multiplication: Perform the multiplication of the coefficients and add the exponents of like bases. $\newline$ $4\times4 = 16$ $\newline$ $x^{(4+1)} = x^5$ $\newline$ $y^{(2+4)} = y^6$ $\newline$ So, the expression becomes $16x^5y^6$ .
Final Simplified Expression: Write down the final simplified expression. $\newline$ The fully simplified form of the expression is $16x^5y^6$ .