HOw would you solve 5^-2 (5 to the negative second power)?

Question

AND 4^-3 X 4^-2

sry... and
5^3
-----
5^4

(5^3 over 5^4)

Answer 1

Anything to a negative power is the same as 1 over that number to the positive power.

So, 5^-2 = 1 / 5^2 = 1/25

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When you are multiplying two exponents, if the base is the same you can add the exponents --- for example x^R * x^S = x ^(R+S).

So, 4^-3 * 4^-2 = 4^-5 = 1 / 4^5 = 1/1024

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When you have two exponents in a fraction, if the base is the same you can subtract the exponents --- for example x^R / x^S = x ^(R-S).

So, for 5^3 / 5^4 = 5^(3-4) = 5^-1 = 1 / 5^1 = 1/5

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Hope that helped!

~ ♥ ~

Answer 2

With the negative exponent, just flip the number and change the negative exponent to a positive.

5^-2 = (5/1)^-2 = (1/5)² = 1/25

Do the same for the others.

When you divide exponent, they subtract and when you multiply, they add. BUT the base must be the same!

Let assume B=base and x and y = exponent

b^x / b^y = b^(x-y)
b^x * b^y = b^(x+y)
Example 2^5 / 2^3 = 2^(5-3) = 2^2 = 4
Example 2^3 * 2^2 = 2^(3+2) = 2^5 = 32

Answer 3

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RE:
HOw would you solve 5^-2 (5 to the negative second power)?

Answer 4

okay a number to a negative exponent means to put 1 over the number and then solve so you would have

1
---
5^2

or 1\25

the others you could solve a couple of ways,
i would take the exponent from the top and subtract the exponent from the bottom if the root is the same (5^4\5^2), otherwise solve each and the simplify the fraction

Answer 5

HOw would you solve 5^-2 (5 to the negative second power)?
5^-2=-5*-5= 25


Additional Details

1 minute ago
AND 4^-3 X 4^-2
4^-3=-4*-4*-4=16*-4 = -64
48 seconds ago
sry... and
5^3 5*5*5 = 25*5 = 125
-----
5^4 5*5*5*5 = 25*25 = 625

125
===== 5
625

Answer 6

5^-2 (5 to the negative second power)?

5^-2=(1/5)^2=1/25=.04

Additional Details

4 minutes ago
AND 4^-3 X 4^-2
(1/4)^3*(1/4)^2=(1/4)^5=1/1024

4 minutes ago
sry... and
5^3
-----
5^4
5^-1=.2

(5^3 over 5^4)

5^-1=1/5=.2

Answer 7

it is 1 over 5^2 so 1 over 25 and solve the rest accordingly

Answer 8

5^-2=1/(5^2)=1/25=0.04

4^-3 x 4^-2=4^-5=1/(4^5)=.000976563

5^3 / 5^4= 1/ 5= 0.2

Answer 9

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yes you do im studying factorization right now: you multiply y by y^2 then times it by -6y then times it by -2 do the same for the 5 then you combine like terms(remember the negatives) . if u want the answer say so

Answer 10

= 1/ 5^2=1/25=0.04