Simplify. Rewrite the expression in the form x^(n). (x^(6))/(x^(8))=◻

Apply quotient rule: Apply the quotient rule for exponents. The quotient rule states that for any nonzero number x and any integers a and b, x^(a) / x^(b) = x^(a-b). So, (x^(6)) / (x^(8)) = x^(6-8).Subtract exponents: Subtract the exponents. Calculate 6 - 8 to simplify the expression further. 6 - 8 = -2. So, x^(6-8) = x^(-2).Write final answer: Write the final answer. The expression (x^(6)) / (x^(8)) simplifies to x^(-2).

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

(x^(6))/(x^(8))=◻

Simplify. $\newline$ Rewrite the expression in the form $x^{n}$ . $\newline$ $\frac{x^{6}}{x^{8}}=\square$

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Algebra 2

Simplify radical expressions with root inside the root

Full solution

Q. Simplify.

\newline

Rewrite the expression in the form

x^{n}

\newline

\frac{x^{6}}{x^{8}}=\square

Apply quotient rule: Apply the quotient rule for exponents. $\newline$ The quotient rule states that for any nonzero number $x$ and any integers $a$ and $b$ , $x^{a} / x^{b} = x^{a-b}$ . $\newline$ So, $(x^{6}) / (x^{8}) = x^{6-8}$ .
Subtract exponents: Subtract the exponents. $\newline$ Calculate $6 - 8$ to simplify the expression further. $\newline$ $6 - 8 = -2$ . $\newline$ So, $x^{(6-8)} = x^{-2}$ .
Write final answer: Write the final answer. $\newline$ The expression $\frac{x^{6}}{x^{8}}$ simplifies to $x^{-2}$ .