Simplify 5^23*5^15

$5^{23} \cdot 5^{15}$

Step 1

Multiply $5^{23}$ by $5^{15}$ by adding the exponents.

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

$5^{23 + 15}$

Add $23$ and $15$ .

$5^{38}$

Step 2

Raise $5$ to the power of $38$ .

$363797880709171000000000000$

Step 3

The result can be shown in multiple forms.

Exact Form:

$363797880709171000000000000$

Decimal Form:

$3.6379788 \cdot 10^{26}$