Question

Simplify the following expression. Your answer should be a single whole number: (2^√2)^√2 . 2^3 Solve the following equation for x:

x² - 6x – 5 = 0 Make sure that you find all possible solutions.

Answer 1

To simplify the expression (2^√2)^√2 . 2^3, we calculate the exponents and then multiply the results. The value of the expression is 32.

Step-by-step explanation:

To simplify the expression (2√2)√2 . 23, we need to first calculate the exponents and then multiply the results.

Using the property of exponents, (ab)c = ab*c, we can simplify (2√2)√2 to 2√2*√2 = 22 = 4.

Next, we multiply the result by 23 = 2*2*2 = 8.

Therefore, (2√2)√2 . 23 simplifies to 4 * 8 = 32

The value of the expression is 32.

Learn more about Simplifying exponential expressions