Question

Choose the correct simplification for...

Answer 1

\[\frac{ x ^{2} }{ x ^{5} }\]

Answer 2

do you know the rule for dividing numbers with exponents

Answer 3

\[\frac{ x ^{a} }{ x ^{b} }=x ^{a-b}\]

Answer 4

ohh yea!! 2 - 5 = -3

Answer 5

do they want you to simplify further or is that enough?

Answer 6

From the Law of Exponents rule for division, we know the following:\[ \frac{ n^a }{ n^b }=n^{a-b}, n \not=0\] Here, our n = x, a = 2, b = 5. Applying\[\frac{ x^2 }{ x^5 }=x^{2-5}=x^{-3}=\frac{ 1 }{ x^3 }\] the rule gives us:

Answer 7

further i think cuz these r the choices:

1/x^3 <--- i think
x^3
x^7
1/x^7

Answer 8

yea

Answer 9

@gabylovesyou100 You are right. Look at my solution above to see how you do it.

Answer 10

how does x^-3 give you 1/x^3

Answer 11

@genius12

Answer 12

if you put a number with a negative exponent under one the exponent becomes positive

Answer 13

ohh ok so the answer is A thanks :)

Answer 14

If we have an integer to the power of a negative exponent, the rule for negative exponents gives this:\[n^{-x}=\frac{ 1 }{ n^x }, n \not= 0\]So if n is a non-zero integer to a negative exponent, we flip the number or fraction and the exponent goes to the bottom and becomes positive.@gabylovesyou100

Answer 15

ohh ok thank you