QuestionSimplify the expression: $y^{-2} y^{9}$ .

Studdy Solution

STEP 1

Assumptions1. We are dealing with the multiplication of two terms with the same base (y) but different exponents (- and9).

STEP 2

The rule for multiplying terms with the same base is to add the exponents. This rule can be written as $a^{m}a^{n} = a^{m+n}$

STEP 3

Now, we apply this rule to our problem $y^{-2}y^{9} = y^{-2+9}$

STEP 4

implify the exponent $y^{-2+9} = y^{7}$ So, $y^{-2}y^{9}$ simplifies to $y^{7}$ .

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