Question 71974
{{{(x^3)^5}}}
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You get the answer to this by multiplying the two exponents to get {{{x^(5*3)}}} which 
simplifies to {{{x^15}}}.
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Think of it this way ... when you raise a quantity to the 5th power, you multiply that 
quantity times itself until it appears 5 times in the string of multiplications.  So what
you are asked to do in this problem is to raise {{{x^3}}} to the 5th power which translates
to:
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{{{(x^3)*(x^3)*(x^3)*(x^3)*(x^3)}}}
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Then in this string you can replace each of the {{{x^3}}} terms by {{{x*x*x}}} and the 
result is:
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{{{(x*x*x)*(x*x*x)*(x*x*x)*(x*x*x)*(x*x*x)}}}
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and if you count them all up, there are 15 x's in this string ... which translates
to {{{x^15}}}.
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That's why the rule that when you raise an quantity with an exponent to another power you
do so by just multiplying the exponents.
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Hope this helps you to see a little more about how exponents work.