Answer:
0.00041649312
Step-by-step explanation:7^-6/7^-2 = 1
2401
≅ 0.0004164931
Exponentiation: 7 ^ (-6) = 8.49985975231E-6 = 1
117649
Exponentiation: 7 ^ (-2) = 0.0204081632653 = 1
49
Divide: the result of step No. 1 : the result of step No. 2 = 1
117649
: 1
49
= 1
117649
· 49
1
= 1 · 49
117649 · 1
= 49
117649
= 49 · 1
49 · 2401
= 1
2401
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1
49
is 49
1
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step cancelling by a common factor of 49 gives 1
2401
.
In words - one over one hundred seventeen thousand six hundred forty-nine divided by one forty-ninth = one over two thousand four hundred one.