Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer using a single exponent. $\newline$ $(6w^2)^3$

View step-by-step help

View step-by-step help

Powers of a power: variable bases

Full solution

Q. Simplify. Express your answer using a single exponent.

\newline

(6w^2)^3

Apply Power Separately: Apply the power to both the coefficient and the variable separately. $\newline$ When raising a power to a power, we multiply the exponents, and when raising a coefficient to a power, we simply calculate the power of the number. $\newline$ $(6w^2)^3 = 6^3 \times (w^2)^3$
Calculate Coefficient Cube: Calculate the cube of the coefficient $6$ . $\newline$ $6^3 = 6 \times 6 \times 6 = 216$
Multiply Exponents: Multiply the exponents for the variable $w$ . $(w^2)^3 = w^{(2 \times 3)} = w^6$
Combine Results: Combine the results from Step $2$ and Step $3$ to write the final simplified expression. $\newline$ $(6w^2)^3 = 216 \times w^6 = 216w^6$

More problems from Powers of a power: variable bases

Question

Factor completely.

\newline

2 x^{4}+4 x^{3}-30 x^{2}=

Posted 3 months ago

Question

Factor completely.

\newline

7 x^{5}-21 x^{4}+14 x^{3}=

Posted 3 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

12 \div 1 \frac{1}{5}=

Posted 3 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

5 \div 3 \frac{1}{3}=

Posted 3 months ago

Question

Divide. Write the quotient in lowest terms.

\newline

8 \div 1 \frac{4}{5}=

Posted 3 months ago

Question

Evaluate the following expression.

\newline

40 \cdot 8-10^{2}=

Posted 3 months ago

Question

Evaluate the following expression.

\newline

9+6^{2}-2 \cdot 8=

Posted 3 months ago

Question

Evaluate the expression. Do not round your answer.

\newline

(3+2)^{2}-7=

Posted 3 months ago

Question

Evaluate the expression.

\newline

Do not round your answer.

\newline

(4+3)^{2}+5=

Posted 3 months ago

Question

Evaluate the following expression.

\newline

3^{3}-10+7=

Posted 3 months ago