Question

Divide 12a^7b^2 by 4a^2b

Answer 1

To divide
`\displaystyle\sf 12a^(7)b^(2)` by
`\displaystyle\sf 4a^(2)b`, we can apply the rules of division with exponents.

When dividing like terms, we subtract the exponents of the variables.

For the coefficients,
`\displaystyle\sf (12)/(4)` simplifies to
`\displaystyle\sf 3`.

For the variables
`\displaystyle\sf a`, we subtract the exponents
`\displaystyle\sf 7-2` to get
`\displaystyle\sf a^(5)`.

For the variables
`\displaystyle\sf b`, we subtract the exponents
`\displaystyle\sf 2-1` to get
`\displaystyle\sf b^(1)` (which simplifies to just
`\displaystyle\sf b`).

Therefore, the result of dividing
`\displaystyle\sf 12a^(7)b^(2)` by
`\displaystyle\sf 4a^(2)b` is:

`\displaystyle\sf (12a^(7)b^(2))/(4a^(2)b) = 3a^(5)b`

So,
`\displaystyle\sf 12a^(7)b^(2)` divided by
`\displaystyle\sf 4a^(2)b` simplifies to
`\displaystyle\sf 3a^(5)b`.

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