Respuesta :

Option C: 1 is the simplification of the expression [tex]\left(-9 a^{3} b^{2} c^{10}\right)^{0}[/tex]

Explanation:

The given expression is [tex]\left(-9 a^{3} b^{2} c^{10}\right)^{0}[/tex]

We need to simplify the given expression.

Simplification:

To simplify the given expression, let us apply the exponent rule, [tex]a^{0}=1[/tex] where [tex]a \neq 0[/tex]

Thus, the the exponent rule [tex]a^{0}=1[/tex] means that any value (except zero) to the power of zero is equal to one.

Thus, the expression [tex]\left(-9 a^{3} b^{2} c^{10}\right)^{0}[/tex] becomes,

[tex]\left(-9 a^{3} b^{2} c^{10}\right)^{0}=1[/tex]

Therefore, the simplified expression is 1

Hence, Option C is the correct answer.