zomibesmasher11 zomibesmasher11
  • 14-06-2018
  • Mathematics
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Evaluate the expression. [(3 to the power of –5)(3 to the power of 4)] exponent of 3

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Luv2Teach
Luv2Teach Luv2Teach
  • 26-06-2018
I'm assuming this is what that looks like [tex][(3 ^{-5})(3^4)] ^{3} [/tex].  We need to work inside those brackets first since the base is the same on both those expressions.  The base is a 3.  When we multiply like bases the rule is that we add the exponents, so what we have after that is [tex](3 ^{-1})^3 [/tex].  Now the rule is power to power.  Multiply them.  [tex]3 ^{-3} [/tex] is your answer if you leave the exponent as a negative, [tex] \frac{1}{ 3^{3} } = \frac{1}{27} [/tex] if you need it positive.
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