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Simplify:

(x^(8))/(x^(3))

Simplify: $\newline$ $\frac{x^{8}}{x^{3}}$

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Evaluate integers raised to rational exponents

Full solution

Q. Simplify:

\newline

\frac{x^{8}}{x^{3}}

Identify Base and Exponents: Identify the base and the exponents in the expression. $\newline$ In the expression $(x^{8})/(x^{3})$ , the base is $x$ , the exponent in the numerator is $8$ , and the exponent in the denominator is $3$ .
Apply Quotient Rule: Apply the quotient rule for exponents. $\newline$ The quotient rule states that when dividing like bases, you subtract the exponents: $x^{a} / x^{b} = x^{a-b}$ . $\newline$ So, $(x^{8})/(x^{3}) = x^{8-3}$ .
Perform Subtraction: Perform the subtraction of the exponents. $x^{(8-3)} = x^{5}.$
Write Final Expression: Write the final simplified expression. $\newline$ The expression $(x^{8})/(x^{3})$ simplifies to $x^{5}$ .

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