Rewrite the expression in the form x^(n). (x^(-(10)/(3)))/(x^(3))=◻

Introduction: To simplify the expression (x^(-(10)/(3)))/(x^(3)), we will use the properties of exponents, specifically the quotient rule which states that when dividing like bases, you subtract the exponents: x^a / x^b = x^(a-b).Step 1: Subtract the exponent in the denominator from the exponent in the numerator: (-(10)/(3)) - 3.Step 2: Convert the whole number 3 to a fraction with the same denominator as (-(10)/(3)) to combine them. The fraction equivalent of 3 with a denominator of 3 is 9/3.Step 3: Now subtract the fractions: (-(10)/(3)) - (9/3).Step 4: Perform the subtraction: (-10/3) - (9/3) = (-10 - 9)/3 = -19/3.Step 5: The simplified form of the expression is x^(-19/3).

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

(x^(-(10)/(3)))/(x^(3))=◻

Rewrite the expression in the form $x^{n}$ . $\newline$ $\frac{x^{-\frac{10}{3}}}{x^{3}}=\square$

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Algebra 2

Evaluate exponential functions

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Q. Rewrite the expression in the form

x^{n}

\newline

\frac{x^{-\frac{10}{3}}}{x^{3}}=\square

Introduction: To simplify the expression $(x^{-(\frac{10}{3})})/(x^{3})$ , we will use the properties of exponents, specifically the quotient rule which states that when dividing like bases, you subtract the exponents: $x^{a} / x^{b} = x^{(a-b)}$ .
Step $1$ : Subtract the exponent in the denominator from the exponent in the numerator: $\left(-\frac{10}{3}\right) - 3$ .
Step $2$ : Convert the whole number $3$ to a fraction with the same denominator as $-\frac{10}{3}$ to combine them. The fraction equivalent of $3$ with a denominator of $3$ is $\frac{9}{3}$ .
Step $3$ : Now subtract the fractions: $\left(-\frac{10}{3}\right) - \frac{9}{3}$ .
Step $4$ : Perform the subtraction: $(-\frac{10}{3}) - (\frac{9}{3}) = (-10 - 9)/3 = -\frac{19}{3}$ .
Step $5$ : The simplified form of the expression is $x^{(-19/3)}$ .