Simplify: (-6x^(2))^(3) Answer:

Apply Power Rule: We have the expression (-6x^2)^3. To simplify this expression, we need to apply the power of a power rule, which states that (a^n)^m = a^(n*m).Calculate Exponents: Apply the power of a power rule to the expression (-6x^2)^3. This means we multiply the exponents of x and raise the coefficient -6 to the power of 3. (-6^3) * (x^(2*3)) = -216 * x^6Combine Results: Combine the results to get the final simplified expression. -216 * x^6 = -216x^6

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify: $\newline$ $\left(-6 x^{2}\right)^{3}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Grade 8

Relationship between squares and square roots

Full solution

Q. Simplify:

\newline

\left(-6 x^{2}\right)^{3}

\newline

Answer:

Apply Power Rule: We have the expression $(-6x^2)^3$ . To simplify this expression, we need to apply the power of a power rule, which states that $(a^n)^m = a^{n*m}$ .
Calculate Exponents: Apply the power of a power rule to the expression $(-6x^2)^3$ . This means we multiply the exponents of $x$ and raise the coefficient $-6$ to the power of $3$ . $(-6^3) \cdot (x^{2\cdot3}) = -216 \cdot x^6$
Combine Results: Combine the results to get the final simplified expression. $\newline$ $-216 \times x^6 = -216x^6$