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Value of 5 to the 4 power over 5 to the power of 6

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User Georger
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1 Answer

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5 to the power of 4 is equal to 5 x 5 x 5 x 5, which equals 625.

5 to the power of 6 is equal to 5 x 5 x 5 x 5 x 5 x 5, which equals 15625

So the value of 5 to the power of 4 over (divide) 5 to the power of 6 is the same as 625 divided by 15625, which equals 0.04.

A shorter way is you can do this is to cancel like terms:

5 x 5 x 5 x 5

5 x 5 x 5 x 5 x 5 x 5

You can cancel 4 fives on the top with 4 of the 5's on the bottom and you are left with

1

5 x 5

or 1/25 which is also equal to 0.04.

Hope this helps.

Have a blessed day!

Keith


answered
User MaGnetas
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8.3k points

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