Respuesta :

The given expression is,

[tex]r^{13}\times r^{11}\times r^7[/tex]

Exponents are used to express large numbers in shorter form to

make them easy to read, understand, compare and operate upon. If we write,

[tex]a^m[/tex]

a is the base and m is the power. So for an expression where, a constant base with different powers are being multiplied, we have, from the property of exponents,

[tex]a^m\times a^n=a^{m+n}[/tex]

Using the same property of exponnets, we can write the given expression as,

[tex]r^{13}\times r^{11}\times r^7=r^{13+11+7}=r^{31}[/tex]

Thus the answer is r^31.