Apply the Properties of Integer Exponents to generate equivalent expressions to 37⋅3−9 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)

1 answer

To generate an expression with only positive exponents for 37⋅3−9, we can use the property of negative exponents which states that a^(-n) = 1/a^n.
So, using this property, we have:

37⋅3^(-9) = 37/(3^9).

Now, let's simplify 3^9.

3^9 = 3^(3 * 3) = (3^3)^3 = 27^3 = 19683.

So, the equivalent expression with only positive exponents is 37/19683.

Therefore, the solved expression is 37/19683.