Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to $(4^4)^8$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{4^{12}}$ $\newline$ (B) $4^{32}$ $\newline$ (C) $4^{12}$ $\newline$ (D) $\frac{1}{4^{32}}$

View step-by-step help

View step-by-step help

Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

(4^4)^8

?

\newline

Choices:

\newline

(A)

\frac{1}{4^{12}}

\newline

(B)

4^{32}

\newline

(C)

4^{12}

\newline

(D)

\frac{1}{4^{32}}

Understand Exponent Rule: Understand the exponent rule for powers raised to powers. $\newline$ When a power is raised to another power, we multiply the exponents. $\newline$ $(a^m)^n = a^{(m*n)}$
Apply Rule to Expression: Apply the exponent rule to the given expression $(4^4)^8$ . Multiply the exponents $4$ and $8$ . $(4^4)^8 = 4^{(4*8)} = 4^{32}$
Compare with Choices: Compare the result with the given choices. $\newline$ The expression $4^{32}$ matches choice (B).

More problems from Identify equivalent exponential expressions II

Question

\newline

2^2 =

Posted 2 months ago

Question

Evaluate. Write your answer as a fraction or whole number.

\newline

(\frac{1}{4})^4

Posted 2 months ago

Question

Which is equal to

9^{-61}

\newline

\newline

\frac{1}{(-9)^{-61}}

\newline

(-9)^{-61}

\newline

(-9)^{61}

\newline

\frac{1}{(9^{61})}

Posted 1 month ago

Question

\newline

Express your answer using positive exponents.

\newline

r^5 \cdot r^8

Posted 2 months ago

Question

Simplify. Express your answer using a single exponent.

\newline

(h^2)^6

\newline

Posted 1 month ago

Question

Simplify. Express your answer using positive exponents.

\newline

(9p^5)(5p^8)

\newline

Posted 2 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

(2v^3)(4v)(5v)

\newline

Posted 2 months ago

Question

Simplify. Express your answer using a single exponent.

\newline

(5z^8)^2

\newline

Posted 2 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

r^9 \cdot r^8 \cdot r^{\text{-}5}

\newline

Posted 2 months ago

Question

Which expression is equivalent to

6 \times 6^8

\newline

\newline

\frac{1}{6^9}

\newline

6^8

\newline

\frac{1}{6^8}

\newline

6^9

Posted 1 month ago