QuestionSimplify $w^{4} \cdot w^{2}$ .

Studdy Solution

STEP 1

Assumptions1. We are dealing with the multiplication of two powers of the same base, in this case, the base is 'w'. . The exponent laws state that when multiplying two powers of the same base, we add the exponents.

STEP 2

We can write the problem as follows, using the exponent law mentioned above.
$w^{4} \cdot w^{2} = w^{4+2}$

STEP 3

Add the exponents.
$w^{+2} = w^{6}$ So, the simplified form of $w^{} \cdot w^{2}$ is $w^{6}$ .

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