Precalculus Examples

$11^{3 \log (1)} \cdot 11^{2 + \log (1)} \cdot 11^{4}$

Step 1

Multiply $11^{3 \log (1)}$ by $11^{2 + \log (1)}$ 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.

$11^{3 \log (1) + 2 + \log (1)} \cdot 11^{4}$

Step 1.2

Logarithm base $10$ of $1$ is $0$ .

$11^{3 \log (1) + 2 + 0} \cdot 11^{4}$

Step 1.3

Add $2$ and $0$ .

$11^{3 \log (1) + 2} \cdot 11^{4}$

Step 1.4

Simplify each term.

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Step 1.4.1

Logarithm base $10$ of $1$ is $0$ .

$11^{3 \cdot 0 + 2} \cdot 11^{4}$

Step 1.4.2

Multiply $3$ by $0$ .

$11^{0 + 2} \cdot 11^{4}$

Step 1.5

Add $0$ and $2$ .

$11^{2} \cdot 11^{4}$

Step 2

Multiply $11^{2}$ by $11^{4}$ by adding the exponents.

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Step 2.1

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

$11^{2 + 4}$

Step 2.2

Add $2$ and $4$ .

$11^{6}$

Step 3

Raise $11$ to the power of $6$ .

$1771561$