Simplify 7*7^-5

$7 \cdot 7^{- 5}$

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

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

Raise $7$ to the power of $1$ .

$7^{1} \cdot 7^{- 5}$

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

$7^{1 - 5}$

Subtract $5$ from $1$ .

$7^{- 4}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{7^{4}}$

Raise $7$ to the power of $4$ .

$\frac{1}{2401}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2401}$

Decimal Form:

$0.00041649 \dots$