Problem

\( x^{3} \cdot x^{\stackrel{2}{?}}=\frac{1}{x^{12}} \)

Answer

Expert–verified
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Answer

\( y=-15 \)

Steps

Step 1 :\( x^3 \cdot x^y = x^{3+y} \)

Step 2 :\( x^{3+y} = \frac{1}{x^{12}} \)

Step 3 :\( 3+y=-12 \)

Step 4 :\( y=-15 \)

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