Simplify 7^-27^57^-3

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

Step 1

Multiply $7^{- 2}$ by $7^{5}$ by adding the exponents.

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

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

Add $- 2$ and $5$ .

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

Step 2

Multiply $7^{3}$ by $7^{- 3}$ by adding the exponents.

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

$7^{3 - 3}$

Subtract $3$ from $3$ .

$7^{0}$

Step 3

Simplify $7^{0}$ .

$1$

Simplify 7^-2*7^5*7^-3