Question

Simplify the expression.
(1.2m)⁴
The simplified expression is

Answer 1

Explanation:

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To simplify this expression, we should recall the 4th Property of Exponents.

`\longmapsto\sf (ab)^m=a^m+b^m`

Meaning of the Formula

If we have a product raised to a power, we raise all the terms in this product to that power.

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Applying the Formula

The expression
`\sf (1.2m)^4` is a product of 1.2 and m; according to the formula above, we should raise both 1.2 and m to the power of 4.

`\sf 1.2^4m^4`. Note that 1.2^4 can be simplified.

`\sf 2.0736m^4`. Which is our final answer.

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Answer 2

`2.0736m^(4)`

Explanation:

We have to first find
`1.2^(4)`, which is 2.0736. Next, we multiply 2.0736 by
`m^(4)`, which gets us
`2.0736m^(4)`.