Math tutorial for solving an equation with a fractional exponent

The video tutorial explains solving an equation by isolating the variable, using exponents and reciprocals, and calculating cube roots. It demonstrates how to rewrite numbers as powers to simplify equations and verify solutions without a calculator.

What is the first step in isolating the variable x in the given problem?

• Multiply by two

• Subtract three

• Add three

• Divide by two

What power should you raise both sides to in order to undo the 3/4 exponent?

• 4/3

• 3/4

• 2/3

• 1/2

How can you express 27 to the 4th power using roots?

• Square root of 27

• Fifth root of 27

• Cube root of 27

• Fourth root of 27

What is the purpose of rewriting 27 as a base raised to the third power?

• To simplify the equation

• To make calculations easier

• To eliminate the denominator

• To change the base

What is the final value of x when solved without a calculator?

• 100

• 81

• 27

• 64