Fully simplify using only positive exponents. (2x^(6)y^(3))/(2x^(6)y^(5)) Answer:

Identify Like Terms: Write down the expression and identify like terms in the numerator and the denominator. (2x^(6)y^(3))/(2x^(6)y^(5)) We have like terms in the numerator and the denominator: 2, x^(6), and y raised to some power.Cancel Common Terms: Cancel out the common terms in the numerator and the denominator. The 2 in the numerator and denominator cancel each other out, as do the x^(6) terms. (2x^(6)y^(3))/(2x^(6)y^(5)) = y^(3)/y^(5)Apply Quotient Rule: Apply the quotient rule for exponents to simplify the expression. The quotient rule states that when dividing like bases, you subtract the exponents. y^(3)/y^(5) = y^(3-5) = y^(-2)Rewrite with Positive Exponents: Since we need to express the answer with only positive exponents, we rewrite y^(-2) as 1/y^(2). y^(-2) = 1/y^(2)

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Fully simplify using only positive exponents.

(2x^(6)y^(3))/(2x^(6)y^(5))
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{2 x^{6} y^{3}}{2 x^{6} y^{5}}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

Full solution

Q. Fully simplify using only positive exponents.

\newline

\frac{2 x^{6} y^{3}}{2 x^{6} y^{5}}

\newline

Answer:

Identify Like Terms: Write down the expression and identify like terms in the numerator and the denominator. $\newline$ $(2x^{6}y^{3})/(2x^{6}y^{5})$ $\newline$ We have like terms in the numerator and the denominator: $2$ , $x^{6}$ , and $y$ raised to some power.
Cancel Common Terms: Cancel out the common terms in the numerator and the denominator. $\newline$ The $2$ in the numerator and denominator cancel each other out, as do the $x^{6}$ terms. $\newline$ $(2x^{6}y^{3})/(2x^{6}y^{5}) = y^{3}/y^{5}$
Apply Quotient Rule: Apply the quotient rule for exponents to simplify the expression. $\newline$ The quotient rule states that when dividing like bases, you subtract the exponents. $\newline$ $y^{3}/y^{5} = y^{3-5} = y^{-2}$
Rewrite with Positive Exponents: Since we need to express the answer with only positive exponents, we rewrite $y^{-2}$ as $1/y^{2}$ . $\newline$ $y^{-2} = 1/y^{2}$