contestada

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
a^3b^5/a^4b

Respuesta :

The expression equivalent to given expression is [tex]\frac{b^4}{a}[/tex]

Solution:

Given expression is:

[tex]\frac{a^3b^5}{a^4b}[/tex]

We are asked to find the expression equivalent to given expression

Assume that denominator does not equal to zero

We can apply the exponent rule in given expression

[tex]\frac{x^a}{x^b} = x^{a - b}[/tex]

Apply the above rule in given expression

[tex]\frac{a^3b^5}{a^4b} = a^{3-4} \times b^{5-1} = a^{-1}b^4[/tex]

[tex]a^{-1}b^4 = \frac{b^4}{a}[/tex]

Thus the equivalent expression is found

Answer:

The expression equivalent to given expression is b^4/a

Step-by-step explanation:

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