Calculus Examples

$\frac{3^{4.5} \cdot 3^{- 1.9}}{3^{- 1.4}}$

Step 1

Multiply $3^{4.5}$ by $3^{- 1.9}$ 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.

$\frac{3^{4.5 - 1.9}}{3^{- 1.4}}$

Step 1.2

Subtract $1.9$ from $4.5$ .

$\frac{3^{2.6}}{3^{- 1.4}}$

Step 2

Move $3^{- 1.4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$3^{2.6} \cdot 3^{1.4}$

Step 3

Multiply $3^{2.6}$ by $3^{1.4}$ by adding the exponents.

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Step 3.1

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

$3^{2.6 + 1.4}$

Step 3.2

Add $2.6$ and $1.4$ .

$3^{4}$

Step 4

Raise $3$ to the power of $4$ .

$81$