Simplify. Rewrite the expression in the form y^(n). (y^(-7))/(y^(-13))=◻+x_^(◻)

Recognize Exponent Properties: Recognize the properties of exponents. When dividing like bases with exponents, we subtract the exponents: a^m / a^n = a^(m-n).Apply Exponent Rule: Apply the exponent rule to the given expression. (y^(-7)) / (y^(-13)) = y^(-7 - (-13)) = y^(-7 + 13) = y^(6).Check for Errors: Check for any mathematical errors in the calculations. The subtraction of exponents was done correctly, and the negative signs were handled properly.

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

(y^(-7))/(y^(-13))=◻+x_^(◻)

Simplify. $\newline$ Rewrite the expression in the form $y^{n}$ . $\newline$ $\frac{y^{-7}}{y^{-13}}=$

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Math Problems

Algebra 2

Simplify rational expressions

Full solution

Q. Simplify.

\newline

Rewrite the expression in the form

y^{n}

\newline

\frac{y^{-7}}{y^{-13}}=

Recognize Exponent Properties: Recognize the properties of exponents. When dividing like bases with exponents, we subtract the exponents: $a^m / a^n = a^{(m-n)}$ .
Apply Exponent Rule: Apply the exponent rule to the given expression. $\newline$ $\frac{y^{-7}}{y^{-13}} = y^{-7 - (-13)} = y^{-7 + 13} = y^{6}$ .
Check for Errors: Check for any mathematical errors in the calculations. The subtraction of exponents was done correctly, and the negative signs were handled properly.