SOLUTION: please show how to simplify 1. 16^1/5*64^1/5 2. 7^4/5 over 7^1/3 3. (10^3/4 * 4^3/4)^-4 4. 1 over x^-2/3 5. (xy^4/5)^2/3 I am so lost and help with any

Algebra ->  Algebra  -> Exponents -> SOLUTION: please show how to simplify 1. 16^1/5*64^1/5 2. 7^4/5 over 7^1/3 3. (10^3/4 * 4^3/4)^-4 4. 1 over x^-2/3 5. (xy^4/5)^2/3 I am so lost and help with any       Log On

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Question 90542: please show how to simplify
1. 16^1/5*64^1/5
2. 7^4/5 over 7^1/3
3. (10^3/4 * 4^3/4)^-4
4. 1 over x^-2/3
5. (xy^4/5)^2/3
I am so lost and help with any of the above problems will be greatly appreciated
LLO
Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!


Rewrite 16 as 4%5E2 and 64 as 4%5E3

Multiply the exponents

Add the exponents

Add the numerators

Simplify




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Make into equivalent fractions

Subtract the exponents

Subtract



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Multiply the exponents by -4

Multiply 10 and 4

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Rewrite the expression without the negative exponent. This means you flip the expression

Divide the fractions

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Multiply the exponents