Algebra Examples

$7^{- 2} \cdot 7^{5} \cdot 7^{- 3}$

Step 1

Multiply $7^{- 2}$ by $7^{5}$ 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.

$7^{- 2 + 5} \cdot 7^{- 3}$

Step 1.2

Add $- 2$ and $5$ .

$7^{3} \cdot 7^{- 3}$

Step 2

Multiply $7^{3}$ by $7^{- 3}$ 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.

$7^{3 - 3}$

Step 2.2

Subtract $3$ from $3$ .

$7^{0}$

Step 3

Simplify $7^{0}$ .

$1$