Question

Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents. a^8/a^6

Answer 1

The exponential expression given is:

=a^8/a^6

The exponents can be solved by adding and subtracting powers. The negative exponents in denominator are converted into positive when they are moved to numerator and vice versa.

So for the given question, as there is 6 in power of a in denominator, the powers of numerators can be broken down.

= (a^6* a^2)/a^6

a^6 in numerator will be cancelled by the same in denominator.

=a^2

Explanation:

Answer 2

The answer will be a^2

Explanation:

The exponential expression given is:

=a^8/a^6

The exponents can be solved by adding and subtracting powers. The negative exponents in denominator are converted into positive when they are moved to numerator and vice versa.

So for the given question, as there is 6 in power of a in denominator, the powers of numerators can be broken down.

= (a^6* a^2)/a^6

a^6 in numerator will be cancelled by the same in denominator.

=a^2

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