Algebra Examples

$x^{9} = 12^{2} \cdot 12^{7}$

Step 1

Multiply $12^{2}$ by $12^{7}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{9} = 12^{2 + 7}$

Step 1.2

Add $2$ and $7$ .

$x^{9} = 12^{9}$

Step 2

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \sqrt[9]{12^{9}}$

Step 3

Pull terms out from under the radical, assuming real numbers.

$x = 12$