Question

which of the following is an equivalent expression to 13^(-5)*13^(-11) with only positive exponents generated by applying the properties of exponents?

a. (1)/(26^(6)
b. (1)/(13^(16)
c. (1)/(13^(6)
d. (1)/(26^(16)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find an equivalent expression with positive exponents, we can use the property of exponents that states: a^(-b) = 1/(a^b).

So, applying this property to 13^(-5)*13^(-11), we can rewrite it as:

(1/13^5)*(1/13^11)

Then, using the property of exponents that states: (a^b)*(c^b) = (a*c)^b, we can simplify the expression further:

1/(13^(5+11))
1/(13^16)

Therefore, the answer is option b. (1)/(13^(16)).