Question

simplify the expression.

\\(3x^{12}z^4)^3\\

\\?x^{\box}z^{\box}\\

Explanation:

Apply the power of a product rule

Using the Simplifying Monomials knowledge point

$$ (3x^{12}z^4)^3 = 3^3 \cdot (x^{12})^3 \cdot (z^4)^3 $$

Simplify the coefficient

Evaluate the numerical base raised to the power:

$$ 3^3 = 3 \cdot 3 \cdot 3 = 27 $$

Apply the power of a power rule

Multiply the exponents for each variable:

$$
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$$

Combine the simplified terms

Write the final simplified monomial expression:

$$ 27x^{36}z^{12} $$

Answer:

Simplify the expression.

$$(3x^{12}z^4)^3$$

<blank>\(27\)</blank>\(x\)<blank>\(36\)</blank>\(z\)<blank>\(12\)</blank>