Question

5. Write the following in exponential form with a negative exponent.
216/512​

Answer 1

Answer:

(8/6)^-3

Step-by-step explanation

216/512

6^3/8^3

(6/8)^3

(8/6)^-3

Answer 2

Answer:

8-³/6-³

Step-by-step explanation:

216 cube root is 6 as 6*6*6=216

So, it can be Written as 6³

512 is cube root of 8

Now it can be written as 8³

So, the Fraction becomes 6³/8³

According to this a^m=1/a^-m law of exponent if  I will do the reciprocal then I will Get my negative exponent=8-³/6-³ is the answer.

It resembles 6 raised to power minus three and 8 raised to power minus three not 6 - any power of 3.

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