Simplify 5g^0*(5g)^0

$5 g^{0} \cdot {(5 g)}^{0}$

Step 1

Anything raised to $0$ is $1$ .

$5 \cdot 1 \cdot {(5 g)}^{0}$

Step 2

Multiply $5$ by $1$ .

$5 \cdot {(5 g)}^{0}$

Step 3

Apply the product rule to $5 g$ .

$5 \cdot (5^{0} g^{0})$

Step 4

Multiply $5$ by $5^{0}$ by adding the exponents.

Move $5^{0}$ .

$5^{0} \cdot 5 \cdot g^{0}$

Multiply $5^{0}$ by $5$ .

Raise $5$ to the power of $1$ .

$5^{0} \cdot 5^{1} \cdot g^{0}$

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

$5^{0 + 1} \cdot g^{0}$

Add $0$ and $1$ .

$5^{1} \cdot g^{0}$

Step 5

Simplify $5^{1} \cdot g^{0}$ .

$5$