Fully simplify. (6x^(4)y^(4))^(3) Answer:

Identify base and exponent: Identify the base and the exponent in the expression (6x^(4)y^(4))^(3). In (6x^(4)y^(4))^(3), the base is 6x^(4)y^(4) and the exponent is 3.Apply power of product rule: Apply the power of a product rule, which states that (ab)^n = a^n * b^n, to the base. (6x^(4)y^(4))^(3) = 6^(3) * (x^(4))^(3) * (y^(4))^(3)Simplify each part: Simplify each part of the expression separately. 6^(3) = 6 * 6 * 6 = 216 (x^(4))^(3) = x^(4*3) = x^(12) (y^(4))^(3) = y^(4*3) = y^(12)Combine simplified parts: Combine the simplified parts to get the final answer. (6x^(4)y^(4))^(3) = 216 * x^(12) * y^(12)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Fully simplify.

(6x^(4)y^(4))^(3)
Answer:

Fully simplify. $\newline$ $\left(6 x^{4} y^{4}\right)^{3}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Evaluate rational exponents

Full solution

Q. Fully simplify.

\newline

\left(6 x^{4} y^{4}\right)^{3}

\newline

Answer:

Identify base and exponent: Identify the base and the exponent in the expression $(6x^{4}y^{4})^{3}$ . $\newline$ In $(6x^{4}y^{4})^{3}$ , the base is $6x^{4}y^{4}$ and the exponent is $3$ .
Apply power of product rule: Apply the power of a product rule, which states that $(ab)^n = a^n * b^n$ , to the base. $(6x^{4}y^{4})^{3} = 6^{3} * (x^{4})^{3} * (y^{4})^{3}$
Simplify each part: Simplify each part of the expression separately. $\newline$ $6^{3} = 6 \times 6 \times 6 = 216$ $\newline$ $(x^{4})^{3} = x^{4\times3} = x^{12}$ $\newline$ $(y^{4})^{3} = y^{4\times3} = y^{12}$
Combine simplified parts: Combine the simplified parts to get the final answer. $\newline$ $(6x^{4}y^{4})^{3} = 216 \times x^{12} \times y^{12}$