Rewrite the expression in the form y^(n). (y^((5)/(4)))/(y^((1)/(4)))=

Apply quotient rule for exponents: Apply the quotient rule for exponents which states that when dividing like bases, you subtract the exponents. So, (y^(5/4))/(y^(1/4)) = y^((5/4) - (1/4))Subtract exponents to simplify: Subtract the exponents (5/4) - (1/4) to simplify the expression. y^((5/4) - (1/4)) = y^(4/4)Simplify exponent: Simplify the exponent 4/4 which is equal to 1. y^(4/4) = y^1Recognize power of 1: Recognize that any number to the power of 1 is the number itself. y^1 = y

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

(y^((5)/(4)))/(y^((1)/(4)))=

Rewrite the expression in the form $y^{n}$ . $\newline$ $\frac{y^{\frac{5}{4}}}{y^{\frac{1}{4}}}=$

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Math Problems

Algebra 2

Evaluate exponential functions

Full solution

Q. Rewrite the expression in the form

y^{n}

\newline

\frac{y^{\frac{5}{4}}}{y^{\frac{1}{4}}}=

Apply quotient rule for exponents: Apply the quotient rule for exponents which states that when dividing like bases, you subtract the exponents. $\newline$ So, $(y^{\frac{5}{4}})/(y^{\frac{1}{4}}) = y^{(\frac{5}{4} - \frac{1}{4})}$
Subtract exponents to simplify: Subtract the exponents $(\frac{5}{4}) - (\frac{1}{4})$ to simplify the expression. $\newline$ $y^{(\frac{5}{4} - \frac{1}{4})} = y^{\frac{4}{4}}$
Simplify exponent: Simplify the exponent $\frac{4}{4}$ which is equal to $1$ . $\newline$ $y^{\frac{4}{4}} = y^1$
Recognize power of $1$ : Recognize that any number to the power of $1$ is the number itself. $y^1 = y$