Algebra Examples

$11^{x} = 11^{4} \cdot 11^{5}$

Step 1

Multiply $11^{4}$ by $11^{5}$ 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.

$11^{x} = 11^{4 + 5}$

Step 1.2

Add $4$ and $5$ .

$11^{x} = 11^{9}$

Step 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$x = 9$