Fully simplify. x^(3)y^(5)(-10x^(4)y^(5)) Answer:

Use Properties of Exponents: To simplify the expression, we need to use the properties of exponents, specifically the product of powers property which states that when multiplying two powers that have the same base, you add the exponents.Apply Product of Powers Property: Apply the product of powers property to the given expression: x^(3)y^(5)(-10x^(4)y^(5)) = -10 * x^(3+4) * y^(5+5)Perform Exponent Addition: Perform the addition of the exponents for both x and y: x^(3+4) = x^7 y^(5+5) = y^10Combine with Coefficient: Combine the results with the coefficient -10: -10 * x^7 * y^10Final Simplified Expression: The expression is now fully simplified: -10x^7y^10

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Fully simplify.

x^(3)y^(5)(-10x^(4)y^(5))
Answer:

Fully simplify. $\newline$ $x^{3} y^{5}\left(-10 x^{4} y^{5}\right)$ $\newline$ Answer:

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Q. Fully simplify.

\newline

x^{3} y^{5}\left(-10 x^{4} y^{5}\right)

\newline

Answer:

Use Properties of Exponents: To simplify the expression, we need to use the properties of exponents, specifically the product of powers property which states that when multiplying two powers that have the same base, you add the exponents.
Apply Product of Powers Property: Apply the product of powers property to the given expression: $x^{3}y^{5}(-10x^{4}y^{5}) = -10 \times x^{3+4} \times y^{5+5}$
Perform Exponent Addition: Perform the addition of the exponents for both $x$ and $y$ : $x^{(3+4)} = x^7$ $y^{(5+5)} = y^{10}$
Combine with Coefficient: Combine the results with the coefficient $-10$ : $-10 \times x^7 \times y^{10}$
Final Simplified Expression: The expression is now fully simplified: $-10x^7y^{10}$