kellersvp kellersvp
  • 08-09-2022
  • Mathematics
contestada

CAN SOMEONE EXPLAIN TO ME HOW TO SOLVE 8^15÷8^7×8

Respuesta :

praisemickey06
praisemickey06 praisemickey06
  • 09-09-2022

Explanation:

So, we are to solve: [tex] {8}^{15} \div {8}^{7} \times 8[/tex]

Using the exponential rule of multiplication and division with the same bases, which are:

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

and:

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

Therefore:

[tex] {8}^{15} \div {8}^{7} \times {8}^{1} = {8}^{15 - 7 + 1} [/tex]

→[tex] {8}^{9} = 134217728[/tex]

Therefore: 134217728 is the final answer

I hope this helps.

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