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. $\newline$ $(8q^4)^2$

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

(8q^4)^2

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 number to a power, we simply calculate the number to that power. $\newline$ $(8q^4)^2 = 8^2 \times (q^4)^2$
Calculate $8^2$ : Calculate $8^2$ . $\newline$ $8^2 = 8 \times 8 = 64$
Calculate $(q^4)^2$ : Calculate $(q^4)^2$ . $\newline$ When raising a power to another power, we multiply the exponents. $\newline$ $(q^4)^2 = q^{(4 \times 2)} = q^8$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(8q^4)^2 = 8^2 \times (q^4)^2 = 64 \times q^8$
Write Final Expression: Write the final simplified expression. $\newline$ The expression $(8q^4)^2$ simplifies to $64q^8$ .

More problems from Powers of a power: variable bases

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 3 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 3 months ago

Question

x^2 = 4

Posted 2 months ago

Question

x^2 = 9

Posted 4 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 4 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 4 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 4 months ago

Question

Select the equivalent expression.

\newline

((8^{-5})/(2^{-2}))^{-4}=?

\newline

1

\newline

\newline

(8^{20})/(2^{8})

\newline

\newline

(2^{6})/(8^{9})

\newline

\newline

(1)/(8\cdot 2^{2})

Posted 17 days ago

Question

Select the equivalent expression.

\newline

\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?

\newline

1

\newline

\frac{b^{21}}{4^{15}}

\newline

\frac{4^{15}}{b^{21}}

\newline

b^{-21}\cdot 4^{-15}

Posted 2 months ago

Question

Select the equivalent expression.

\newline

(3^{3}\cdot6^{6})^{-3}=

\newline

1

\newline

\frac{1}{3^{9}\cdot6^{18}}

\newline

\frac{6^{18}}{3^{9}}

\newline

\frac{3^{9}}{6^{18}}

Posted 2 months ago