Understanding Exponent Properties and Simplification

The video tutorial explains how to simplify a fraction using exponent properties. It starts with an equation, 2x - 4y = -2, and demonstrates how to express numbers as powers of 4. The tutorial covers exponent multiplication and division rules, leading to the simplification of the fraction to 1/16.

What equation is introduced at the beginning of the tutorial?

• 4x + 2y = -2

• 2x - 4y = -2

• 4x - 2y = 2

• 2x + 4y = 2

How can the number 16 be expressed as a power of 4?

• 4 to the power of 3

• 4 to the power of 2

• 4 to the power of 4

• 4 to the power of 1

What is the expression for 256 as a power of 4?

• 4 to the power of 2

• 4 to the power of 4

• 4 to the power of 5

• 4 to the power of 3

What operation is used when dividing bases with the same exponent?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

What is the simplified result of 4 to the power of negative two?

• 1/8

• 1/16

• 1/4

• 1/32