Apply Quotient Rule: Apply the quotient rule for exponents which states that when dividing like bases, you subtract the exponents. y^(9) ÷ y^(1/2) = y^(9 - 1/2)Convert Exponent to Fraction: Convert the exponent 9 to a fraction to have a common denominator with 1/2. The number 9 is equivalent to 18/2 when expressed as a fraction with a denominator of 2. y^(18/2 - 1/2) = y^(17/2)Perform Subtraction: Perform the subtraction of the fractions in the exponent. 18/2 - 1/2 = 17/2 So, y^(9) ÷ y^(1/2) = y^(17/2)

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$y^{9}\div y^{\frac{1}{2}}=$

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Grade 6

Add, subtract, multiply, or divide two fractions

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y^{9}\div y^{\frac{1}{2}}=

Apply Quotient Rule: Apply the quotient rule for exponents which states that when dividing like bases, you subtract the exponents. $\newline$ $y^{9} \div y^{\frac{1}{2}} = y^{9 - \frac{1}{2}}$
Convert Exponent to Fraction: Convert the exponent $9$ to a fraction to have a common denominator with $\frac{1}{2}$ . The number $9$ is equivalent to $\frac{18}{2}$ when expressed as a fraction with a denominator of $2$ . $\newline$ $y^{\left(\frac{18}{2} - \frac{1}{2}\right)} = y^{\frac{17}{2}}$
Perform Subtraction: Perform the subtraction of the fractions in the exponent. $\newline$ $\frac{18}{2} - \frac{1}{2} = \frac{17}{2}$ $\newline$ So, $y^{9} \div y^{\frac{1}{2}} = y^{\frac{17}{2}}$