How to solve an equation with fraction powers in your exponent

The video tutorial explains how to solve the equation X to the three halves equals 8. It covers the use of exponents and reciprocals to simplify the expression to X to the first power. The tutorial also demonstrates solving the equation using radical expressions and provides an alternative method using exponents. The instructor emphasizes understanding the multiplication of exponents and the use of reciprocals to simplify expressions.

What is the main goal when solving the equation X to the three halves equals 8?

• To find X to the second power

• To find X to the fourth power

• To find X to the first power

• To find X to the zero power

What is the reciprocal of three halves?

• 2/3

• 1/2

• 1/3

• 3/2

How can you express 8 as a power of 2?

• 2^5

• 2^4

• 2^3

• 2^2

What is the cube root of 64?

• 4

• 2

• 3

• 5

Which method can be used to simplify the expression 8 to the 2/3 power?

• Using trigonometry

• Rewriting as a radical expression

• Using a calculator

• Using logarithms