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

Distribute Exponent Inside: Distribute the exponent inside the parentheses. We have -5x^(3)y^(5)(x^(5)y). We will apply the distributive property of exponents to multiply x^(3) by x^(5) and y^(5) by y. -5x^(3)x^(5)y^(5)yApply Product Rule: Apply the product rule for exponents. The product rule states that when multiplying like bases, you add the exponents. So, x^(3) * x^(5) becomes x^(3+5) and y^(5) * y becomes y^(5+1). -5x^(3+5)y^(5+1)Perform Exponent Addition: Perform the addition of the exponents. Now we add the exponents for both x and y. -5x^(8)y^(6)Check Further Simplification: Check for any further simplification. There are no like terms to combine and no further simplification is possible.

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Fully simplify.

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

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

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Algebra 2

Evaluate rational exponents

Full solution

Q. Fully simplify.

\newline

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

\newline

Answer:

Distribute Exponent Inside: Distribute the exponent inside the parentheses. $\newline$ We have $-5x^{3}y^{5}(x^{5}y)$ . We will apply the distributive property of exponents to multiply $x^{3}$ by $x^{5}$ and $y^{5}$ by $y$ . $\newline$ $-5x^{3}x^{5}y^{5}y$
Apply Product Rule: Apply the product rule for exponents. $\newline$ The product rule states that when multiplying like bases, you add the exponents. So, $x^{3} \times x^{5}$ becomes $x^{3+5}$ and $y^{5} \times y$ becomes $y^{5+1}$ . $\newline$ $-5x^{3+5}y^{5+1}$
Perform Exponent Addition: Perform the addition of the exponents. $\newline$ Now we add the exponents for both $x$ and $y$ . $\newline$ $-5x^{8}y^{6}$
Check Further Simplification: Check for any further simplification. There are no like terms to combine and no further simplification is possible.