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x^9=12^2\cdot12^7

Question

x^9=12^2\cdot12^7

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Solution

The equation is "x^9 = 12^2 * 12^7".

Step 1: Simplify the right side of the equation.

12^2 * 12^7 = 12^(2+7) = 12^9

So, the equation becomes "x^9 = 12^9".

Step 2: To solve for x, take the 9th root of both sides.

The 9th root of x^9 is x. The 9th root of 12^9 is 12.

So, x = 12.

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