write an algebraic expression for the word phrase.

10 times the product of g and h.

product of g and h: gh

10 times the product of g and h: 10gh

Sure, here's an algebraic expression for that word phrase:

10gh

The algebraic expression for the word phrase "10 times the product of g and h" is:

10(g * h)

To write an algebraic expression for the word phrase "10 times the product of g and h," we can break it down into its components.

The word "product" implies multiplication, so we need to multiply the variables g and h. To multiply variables, we simply write them side by side. Therefore, the product of g and h can be represented as gh.

Next, we have the phrase "10 times." This tells us to multiply the product of gh by 10. To do this, we place the product gh inside parentheses and multiply it by 10. Therefore, the algebraic expression for "10 times the product of g and h" is:

10 * (gh)