Question

Which expression is equivalent to the given expression?

Assume the denominator does not equal zero.

a^3b^5 / a^4b

A. b^4 / a

B. a / b^4

C. 1 / ab^4

D. ab^4

Answer 1

The expression which is equivalent to the given expression by means of evaluation using the laws of indices is; Choice A; b⁴/a.

Which of the answer choice represents an expression which is equivalent to the given expression?

The given expression according to the task content is; a³b⁵/a⁴b.

It therefore follows from the laws of indices that each variable can be evaluated by means of their exponents as follows;

a^(3-4)b^(5-1)

Consequently we have;

b⁴/a.

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