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Simplify.
Rewrite the expression in the form
4^(n).

(4^(11))/(4^(-8))=

Simplify. $\newline$ Rewrite the expression in the form $\newline$ $4^{n}$ . $\newline$ $\frac{4^{11}}{4^{-8}}=$

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Evaluate expressions using properties of exponents

Full solution

Q. Simplify.

\newline

Rewrite the expression in the form

\newline

4^{n}

.

\newline

\frac{4^{11}}{4^{-8}}=

Identify base and exponents: Identify the base and the exponents of the numerator and the denominator. In the numerator, $4$ is the base raised to the exponent $11$ . In the denominator, $4$ is the base raised to the exponent $-8$ . $\newline$ Base: $4$ $\newline$ Exponent of numerator: $11$ $\newline$ Exponent of denominator: $-8$
Apply quotient rule for exponents: Apply the quotient rule for exponents which states that when dividing like bases, you subtract the exponents. Rewrite the expression as a single power of $4$ . $\newline$ $\left(4^{11}\right)\big/\left(4^{-8}\right) = 4^{11 - (-8)} = 4^{11 + 8} = 4^{19}$
Check for mathematical errors: Check for any mathematical errors in the previous steps. The base remains the same ( $4$ ), and the exponents have been correctly subtracted ( $11 - (-8) = 19$ ).

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