List three different ways to write 5^11 as the product of two powers. Explain why all three of your expressions are equal to 5^11.

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Psmiley2 Psmiley2

14-04-2018
Mathematics

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List three different ways to write 5^11 as the product of two powers. Explain why all three of your expressions are equal to 5^11.

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Mistystar4881 Mistystar4881 · Answer 1 · 2018-04-14T01:24:02+02:00

Mistystar4881 Mistystar4881

14-04-2018

5[tex] ^{7} [/tex] x 5[tex] ^{4} [/tex]
5[tex] ^{10} [/tex] x 5[tex] ^{1} [/tex]
5³ x 5[tex] ^{8} [/tex]
They all work because their exponents all add up to 11.
Hope this helps!

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