Answer :

The expression is simplified to 1

What is index form?

Standard index form is also known as standard form.

A number is written in standard form when it is written as A × 10 n ,

Multiplicative law of indices is expressed as;

x² x³ = x^ 2+3 = x^5

From the expression given, we have:

[tex]\frac{(a^8 a^6)^1^/^7}{a^2}[/tex]

Using the law, we get:

[tex]\frac{(a^8^+^6)^1^/^7}{a^2}[/tex]

[tex]\frac{a^1^4^*^1^/^7}{a^2}[/tex]

Multiply through

[tex]\frac{a^2}{a^2}[/tex]

Find the ratio

= 1

Thus, the expression is simplified to 1

Learn more about index forms here:

https://brainly.com/question/15361818

#SPJ1