Evaluate 7^35*7^-21*7^-8

$7^{35} \cdot 7^{- 21} \cdot 7^{- 8}$

Multiply $7^{35}$ by $7^{- 21}$ by adding the exponents.

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

$7^{35 - 21} \cdot 7^{- 8}$

Subtract $21$ from $35$ .

$7^{14} \cdot 7^{- 8}$

Multiply $7^{14}$ by $7^{- 8}$ by adding the exponents.

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

$7^{14 - 8}$

Subtract $8$ from $14$ .

$7^{6}$

Raise $7$ to the power of $6$ .

$117649$

Evaluate 7^35*7^-21*7^-8

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