leanneknapper leanneknapper
  • 01-04-2020
  • Mathematics
contestada

Simplify 5 to the 22 power over 5 to the fourth power

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 05-04-2020

Answer:

Step-by-step explanation:

When you have a problem that looks like that one does, namely:

[tex]\frac{5^{22}}{5^4}[/tex]

that's an example of division of exponents.  The 5's are called the bases.  The rule is if you are dividing like bases (which we are) subtract the lower exponent from the upper exponent and that difference becomes the new power on the base.

Our exponents are 22 on top and 5 on the  bottom, so 22 - 5 = 17

17 is the new exponent on the 5, thus our simplification of this is

[tex]5^{17}[/tex]

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