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Simplify the expression $\frac{x^{\left(2y-3\right)}x^{\left(y+5\right)}}{x^{\left(3y+1\right)}x^{\left(y-3\right)}}$

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Solution

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Final answer to the problem

$x^{\left(4-y\right)}$
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Step-by-step Solution

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Simplify the fraction $\frac{x^{\left(2y-3\right)}x^{\left(y+5\right)}}{x^{\left(3y+1\right)}x^{\left(y-3\right)}}$ by $x$

$\frac{x^{\left(2y-3-\left(3y+1\right)\right)}x^{\left(y+5\right)}}{x^{\left(y-3\right)}}$

Learn how to solve simplification of algebraic fractions problems step by step online.

$\frac{x^{\left(2y-3-\left(3y+1\right)\right)}x^{\left(y+5\right)}}{x^{\left(y-3\right)}}$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (x^(2y-3)x^(y+5))/(x^(3y+1)x^(y-3)). Simplify the fraction \frac{x^{\left(2y-3\right)}x^{\left(y+5\right)}}{x^{\left(3y+1\right)}x^{\left(y-3\right)}} by x. Simplify the fraction \frac{x^{\left(2y-3-\left(3y+1\right)\right)}x^{\left(y+5\right)}}{x^{\left(y-3\right)}} by x. Apply the exponent property of product of powers: x^a\cdot x^b=x^{a+b}. Subtract the values 5 and -3.

Final answer to the problem

$x^{\left(4-y\right)}$

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Function Plot

Plotting: $x^{\left(4-y\right)}$

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x
y
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(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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