Fully simplify using only positive exponents. (27 xy^(5))/(27 xy^(4)) Answer:

Cancel Common Factors: We are given the expression (27 xy^(5))/(27 xy^(4)). To simplify this expression, we will first cancel out any common factors in the numerator and the denominator.Divide by 27: The number 27 appears in both the numerator and the denominator, so we can divide both by 27 to cancel it out. 27/27 = 1Apply Quotient Rule for Exponents: Now we look at the variable terms. We have xy^(5) in the numerator and xy^(4) in the denominator. Since the bases are the same (x and y), we can subtract the exponents according to the quotient rule for exponents: a^(m)/a^(n) = a^(m-n).Simplify Variable x: Applying the quotient rule to the variable x, we see that the exponents are the same in both the numerator and the denominator, so x/x = x^(1-1) = x^0 = 1.Simplify Variable y: Applying the quotient rule to the variable y, we subtract the exponents: y^(5)/y^(4) = y^(5-4) = y^1 = y.Final Result: After canceling out the common factors and simplifying the exponents, we are left with: 1 * y = y

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Fully simplify using only positive exponents.

(27 xy^(5))/(27 xy^(4))
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{27 x y^{5}}{27 x y^{4}}$ $\newline$ Answer:

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Algebra 1

Power rule with rational exponents

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Q. Fully simplify using only positive exponents.

\newline

\frac{27 x y^{5}}{27 x y^{4}}

\newline

Answer:

Cancel Common Factors: We are given the expression $(27 xy^{5})/(27 xy^{4})$ . To simplify this expression, we will first cancel out any common factors in the numerator and the denominator.
Divide by $27$ : The number $27$ appears in both the numerator and the denominator, so we can divide both by $27$ to cancel it out. $\frac{27}{27} = 1$
Apply Quotient Rule for Exponents: Now we look at the variable terms. We have $xy^{5}$ in the numerator and $xy^{4}$ in the denominator. Since the bases are the same ( $x$ and $y$ ), we can subtract the exponents according to the quotient rule for exponents: $a^{m}/a^{n} = a^{m-n}$ .
Simplify Variable $x$ : Applying the quotient rule to the variable $x$ , we see that the exponents are the same in both the numerator and the denominator, so $\frac{x}{x} = x^{1-1} = x^0 = 1$ .
Simplify Variable $y$ : Applying the quotient rule to the variable $y$ , we subtract the exponents: $y^{5}/y^{4} = y^{5-4} = y^{1} = y$ .
Final Result: After canceling out the common factors and simplifying the exponents, we are left with: $\newline$ $1 \times y = y$