Question

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

Answer 1

The equivalent expression is b⁴/a. Option A

To determine the equivalent expression, we have to know that index forms are mathematical models used to represent numbers or variables that are too large or too small in more convenient forms.

Then, we have that;

a³b⁵/a⁴b

Now, to simply the expression, we have to subtract the exponential value of the divisors with same bases, we then have;

a³⁻⁴b⁵⁻¹

subtract the values, we get;

a⁻¹b⁴

This is also expressed as;

b⁴/a

Answer 2

We will find the equivalent expression as follows:

`(a^3b^5)/(a^4b)=a^3a^(-4)b^5b^(-1)=a^((3-4))b^((5-1))`
`=a^(-1)b^4=(b^4)/(a)`

So, the solution is b^4 / a. [Opion A]