Simplify.

Question

Simplify.

Rewrite the expression in the form
\[4^n\].

\[\dfrac{4^{9}}{4^5}=\]

Answer 1

Using the quotient rule for exponents ($a^m / a^n = a^{m-n}$), we can simplify the expression as follows:

\[\dfrac{4^{9}}{4^5} = 4^{9-5} = 4^4 = \boxed{256}.\]

Answer 2

Using the quotient rule for exponents ($a^m / a^n = a^{m-n}$), we can simplify the expression as follows:

\[\dfrac{4^{9}}{4^5} = 4^{9-5} = 4^4 = \boxed{256}.\]

Answer 3

Simplify.

Rewrite the expression in the form
\[4^n\].

\[\dfrac{4^{9}}{4^5}=\]

Answer 4

To simplify the expression $\frac{4^9}{4^5}$ in the form $4^n$, we can use the rule of exponents which states that when you divide two powers with the same base, you subtract the exponents.

So, we can rewrite the expression as:

$\frac{4^9}{4^5} = 4^{9-5}$

Simplifying further, we have:

$\frac{4^9}{4^5} = 4^4$

Therefore, the expression $\frac{4^9}{4^5}$ is equivalent to $4^4$.

Simplify.

Using the quotient rule for exponents ($a^m / a^n = a^{m-n}$), we can simplify the expression as follows:

Using the quotient rule for exponents ($a^m / a^n = a^{m-n}$), we can simplify the expression as follows:

Simplify.

To simplify the expression \(\frac{4^9}{4^5}\) in the form \(4^n\), we can use the rule of exponents which states that when you divide two powers with the same base, you subtract the exponents.