Question

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Answer 1

Answer:

The expression equivalent to given expression is  

Solution:

Given expression is:

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

Apply the above rule in given expression

Thus the equivalent expression is found

Step-by-step explanation:

Answer 2

The expression equivalent to given expression is $\frac{b^4}{a}$

Solution:

Given expression is:

$\frac{a^3b^5}{a^4b}$

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

$\frac{x^a}{x^b} = x^{a - b}$

Apply the above rule in given expression

$\frac{a^3b^5}{a^4b} = a^{3-4} \times b^{5-1} = a^{-1}b^4$

$a^{-1}b^4 = \frac{b^4}{a}$

Thus the equivalent expression is found