this module is intended to help you understand fractional exponents. rewrite the expression below as 19 to a…

this module is intended to help you understand fractional exponents. rewrite the expression below as 19 to a single power: \\((19^3)^2=\\square\\)

this module is intended to help you understand fractional exponents. rewrite the expression below as 19 to a single power: \\((19^3)^2=\\square\\)

Answer

Explanation:

Step1: Apply power of a power rule

When raising a power to a power, multiply the exponents: $(a^m)^n = a^{m \times n}$

Step2: Calculate the new exponent

For $(19^3)^2$, compute $3 \times 2 = 6$ So $(19^3)^2 = 19^{3 \times 2} = 19^6$

Answer:

$19^6$