simplify and express the answer using positive exponents only m8m-14

Answer to what?

m8m-14 is not a meaningful algebraic expression.

18a^-20/8a^9

18/a^20 8a^9

To simplify the expression m^8 * m^-14, we can use the exponent rule that states m^a * m^b = m^(a+b).

In this case, the expression can be rewritten as m^(8 + (-14)). Since adding a positive and negative exponent is the same as subtracting the two exponents, we have m^(-6).

To express the answer using positive exponents only, we can apply another exponent rule which states that m^(-n) = 1/m^n.

Therefore, m^(-6) can be expressed as 1/m^6. Thus, the simplified and positive exponent form of the expression m^8 * m^(-14) is 1/m^6.