[tex]5^{15}[/tex]
To solve this, we are using the product rule of exponents: [tex]a^m*a^n=a^{m+n}[/tex], which means that when we multiply powers of the same base, we just need to add the exponents.
In our expression [tex]5^{10}*5^5[/tex], we have the same base: 5. So we just need to add the exponents together:
[tex]5^{10}*5^5=5^{10+5}=5^{15}[/tex]
We can conclude that [tex]5^{15}[/tex] is equivalent to [tex]5^{10}*5^5[/tex].
