What is the quotient ?

StartFraction 7 Superscript negative 6 Over 7 squared EndFraction

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Step-by-step explanation:

Our equation is . 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:

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:

If we want to find the decimal expansion of this, it is around: (in scientific notation).

Hope this helps!

7^(-8) or 1/7⁸

Step-by-step explanation:

(7^-6)/7²

7^(-6-2)

7^(-8) or

1/7⁸