Fully simplify. -12x^(5)y(-6x^(2)y) Answer:

Write Expression: Write down the expression to be simplified. -12x^(5)y * -6x^(2)yMultiply Coefficients: Multiply the coefficients (numerical parts) of the terms. -12 * -6 = 72Apply Product Rule: Apply the product rule for exponents to the x terms, which states that when multiplying like bases, you add the exponents. x^(5) * x^(2) = x^(5+2) = x^(7)Multiply Exponents: Multiply the y terms together. Since they have the same exponent (which is 1), they can be combined by adding the exponents. y * y = y^(1+1) = y^(2)Combine Results: Combine the results from Step 2, Step 3, and Step 4 to get the final simplified expression. 72x^(7)y^(2)

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Fully simplify.

-12x^(5)y(-6x^(2)y)
Answer:

Fully simplify. $\newline$ $-12 x^{5} y\left(-6 x^{2} y\right)$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

Full solution

Q. Fully simplify.

\newline

-12 x^{5} y\left(-6 x^{2} y\right)

\newline

Answer:

Write Expression: Write down the expression to be simplified. $\newline$ $-12x^{5}y \times -6x^{2}y$
Multiply Coefficients: Multiply the coefficients (numerical parts) of the terms. $\newline$ $-12 \times -6 = 72$
Apply Product Rule: Apply the product rule for exponents to the $x$ terms, which states that when multiplying like bases, you add the exponents. $x^{5} \times x^{2} = x^{5+2} = x^{7}$
Multiply Exponents: Multiply the $y$ terms together. Since they have the same exponent (which is $1$ ), they can be combined by adding the exponents. $y \times y = y^{(1+1)} = y^{2}$
Combine Results: Combine the results from Step $2$ , Step $3$ , and Step $4$ to get the final simplified expression. $72x^{7}y^{2}$