Question

u5d1: rational exponents
score: 11/28 answered: 14/28
question 3
evaluate each expression (using exponent rules). no calculator.
$(2^8)^{\frac{1}{2}}$

Explanation:

Step1: Apply exponent power rule

The power rule for exponents states that \((a^m)^n = a^{m \times n}\). For the expression \((2^8)^{\frac{1}{2}}\), we multiply the exponents: \(8\times\frac{1}{2}=4\). So the expression simplifies to \(2^4\).

Step2: Calculate \(2^4\)

\(2^4 = 2\times2\times2\times2 = 16\).

Answer:

16