simplify the expression y^4(y^2(y^5)^2)^3

Question

How do you simplify the expression: simplify the expression y^4(y^2(y^5)^2)^3?

Answer 1

You when multiplying y^x1 with an other y^x2 you only need to do like y^(x1+x2)

if it was 2ZY^x2 and 6W^x1 it will give : 12ZYW^(x1+x2)

 

y^4(y^2(y^5)^2)^3

y^4(y^2(y^5)*(y^5))^3

y^4(y^2*(y^10))^3

y^4(y^12)^3

y^4*(y^12)*(y^12)*(y^12)

y^4*(y^24)*(y^12)

y^4*y^36

y^40

Answer 2

Question: simplify the expression y^4(y^2(y^5)^2)^3.

When you have a bracketed expression, start from the innermost bracket(s), and evaluate them first. Then work outwards.

The expression is: y^4(y^2(y^5)^2)^3

The innermost bracketed term is: (y^5)^2, and this evaluates to y^10.

The expression now is: y^4(y^2.y^10)^3

The innermost bracketed term is: (y^2.y^10), and this evaluates to y^12.

The expression now is: y^4(y^12)^3

The innermost bracketed term is: (y^12)^3, and this evaluates to y^36.

The expression now is: y^4.y^36, and this evaluates to : y^40.

Answer: y^40