Without evaluating, which power has the least value: 7^-155, 49^-78, 343^-53

Question

^-155 means to the exponent -155

Answer 1

7^(-155), 49^(-78), 343^(-53)

(1/7^[155])

(1/49^[78])

(1/343^[53])

 

1/7^(155)

(1/[7^2]^78)=1/7^(156)

(1/[7^3]^53)=1/7^159

the fraction with the greatest denominator is the smallest number because all of the numerators are the same

1/7^159 has the least value (343^[-53])