Question

(y⁶ ÷ y⁴) X (y² X y³) : Simplify.

Answer 1

Answer:

y^7

Step-by-step explanation:

Given (y⁶ ÷ y⁴) X (y² X y³)  : Simplify.

We know the law of exponents which states that

a^m x a^n = a^m + n

a^m / a^n = a^m - n

So the problem is y^6 / y^4 x y^2 x y^3

So we have y^6 / y^4 x y^2 + 3

y^6 - 4 x y^2 + 3

y^2 x y^5

y ^2 + 5

y^7

After simplifying we get y^7

Answer 2

Answer:

The answer is => y^7  

Step-by-step Explanation:

The question is to solve this expression:

(y⁶ ÷ y⁴) * (y² X y³)  

In such type of questions, if the base number is same, then their powers are added or subtracted on the basis of multiplication and division respectively.  

=   (y^6 / y^4) * (y^2 * y^3)

=   (y^6 / y^4) * (y^2 + 3 )

=   (y^6 – 4) * (y^2 + 3)

=   (y^2) * (y^5)

=   y ^2 + 5

=   y^7