Simplify the following expressions, leaving only positive exponents

Question

5g(3h^3g)^2 ; Please show all work 

Answer 1

We will use the order of operations known as PEMDAS.

 

Our Expression is   5g(3h³g)²

 

 

First is parenthesis. Since there is nothing to do inside parenthesis, the next operation we perform is exponents:

 

5g(9h⁶g²)

 

 

Next is multiplication.  This operation will undo the parenthesis in the expression.

 

Multiply the base numbers and add the exponents of common bases.

 

45g³h⁶