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4 votes
What is the quotient ?

StartFraction 7 Superscript negative 6 Over 7 squared EndFraction

User Wxz
by
4.7k points

2 Answers

1 vote

Answer:


(1)/(7^7)
1.21*10^(-6)

Explanation:

Our equation is
(7^(-6))/(7) . Whenever we have a negative exponent, we can turn it positive by moving it from the numerator to the denominator or vice versa (depending on where it's located). Here, 7^(-6) is in the numerator so we can then move it to the denominator and make it positive:


(7^(-6))/(7)=(1)/(7^6*7)

Remember that when multiplying powers with the same base (in this case, that shared base is 7), we can combine them into one by adding the exponents. Here, we have 7^6 (exponent is 6) and 7 (exponent is 1). So:


(1)/(7^6*7)=(1)/(7^(6+1)) =(1)/(7^7)

If we want to find the decimal expansion of this, it is around:
1.21*10^(-6) (in scientific notation).

Hope this helps!

User Ben Vitale
by
4.3k points
6 votes

Answer:

7^(-8) or 1/7⁸

Explanation:

(7^-6)/7²

7^(-6-2)

7^(-8) or

1/7⁸

User Jessey
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4.0k points