What is the simplified form of
(
z^4
)^3
?

z^{12}

By the power-of-a-power rule,
(a^m)^n=a^{mn}
. Hence,
(z^4)^3=z^{4\cdot3}=z^{12}
. Option A incorrectly adds the exponents, while option C treats the exponent as
4^3
. Exam tip: when a power is raised to another power, multiply the exponents.

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.