this module is intended to help you understand fractional exponents. rewrite the expression below as 6 to a…
this module is intended to help you understand fractional exponents. rewrite the expression below as 6 to a single power: \n$(6^{4})^{9}=\\square$
Answer
Explanation:
Step1: Recall exponent rule
When raising a power to a power, we multiply the exponents: ((a^m)^n = a^{m\times n}).
Step2: Apply the rule
For ((6^4)^9), here (a = 6), (m = 4), (n = 9). So we calculate (4\times9 = 36). Thus, ((6^4)^9 = 6^{4\times9}=6^{36}).
Answer:
(6^{36})