Algebra Examples

$\frac{5^{2} \cdot 5^{3}}{5^{3} \cdot 5^{2}}$

Step 1

Multiply $5^{2}$ by $5^{3}$ 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.

$\frac{5^{2 + 3}}{5^{3} \cdot 5^{2}}$

Step 1.2

Add $2$ and $3$ .

$\frac{5^{5}}{5^{3} \cdot 5^{2}}$

Step 2

Multiply $5^{3}$ by $5^{2}$ 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.

$\frac{5^{5}}{5^{3 + 2}}$

Step 2.2

Add $3$ and $2$ .

$\frac{5^{5}}{5^{5}}$

Step 3

Cancel the common factor of $5^{5}$ .

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Step 3.1

Cancel the common factor.

$\frac{5^{5}}{5^{5}}$

Step 3.2

Rewrite the expression.

$1$