SOLUTION: Can you please help me solve problems such as {{{1/h 5th power = h nth power}}}. What is the value of n? I am trying to assist an algebra student with her homework and teach 5th g

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Question 235079: Can you please help me solve problems such as . What is the value of n? I am trying to assist an algebra student with her homework and teach 5th grade. It has been awhile since I have done algebra. Thank you
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
Not sure what you're asking.

The laws of exponents are:

b^x*b^y = b^(x+y)

An example would be 2^3 * 2^6 = 2^(3+6) = 2^9 = 512

b^x/b^y = b^(x-y)

An example would be 2^9 / 2^4 = 2^(9-4) = 2^5 = 32

b^(-x) = 1/b^x

An example would be 2^(-5) = 1/2^5 = 1/32

(b^x)^y = b^(x*y)

An example would be (2^3)^7 = 2^(3*7) = 2^21 = 2097152

You can use your calculator to confirm.

Just do it both ways and see that you get the same answer.

Last that I remember off hand.....

b^(1/n) = root(n,b)

A couple of examples might explains this.

4^(1/2) = sqrt(4) = 2 = square root of 4.

8^(1/3) = root(3,8) = 2 = cube root of 8.

15625^(1/6) = root(6,15625) = 5 = sixth root of 15625.

The formula sqrt(x) looks like using algebra.com formula generator.

The formula root(n,x) lookslike using algebra.com formula generator.

Write if you have further questions.