Understanding Exponents and Solving Equations

The video tutorial explains how to solve an equation by rewriting terms with a base of 2. It demonstrates simplifying the equation using powers and exponents, equating expressions, and solving for the variable x. The final solution is x equals six-sevenths.

How can the number 8 be expressed as a power of 2?

• 2 to the fifth

• 2 cubed

• 2 to the fourth

• 2 squared

What is the result of multiplying two powers with the same base?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

What is the simplified form of 2 to the sixth plus 2 to the sixth?

• 2 to the eighth

• 2 to the twelfth

• 2 to the seventh

• 2 to the sixth

If two expressions with the same base are equal, what can be said about their exponents?

• They are equal

• One is double the other

• They are different

• One is half the other

What is the value of x in the equation 7 = 6x?

• x = 1

• x = 6/7

• x = 7/6

• x = 1/6