What is 7^-6/7^-2?

Please help??!

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.