Simplifying Exponential Expressions

This video tutorial covers the concepts of zero and negative exponents, explaining their properties and providing examples. It demonstrates how to use the quotient rule with exponents and includes practice problems to simplify expressions. The tutorial concludes with a real-world application problem involving exponents.

What is the value of any nonzero number raised to the power of zero?

• Zero

• The number itself

• One

• Undefined

Why is zero to the power of zero considered undefined?

• Because it equals infinity

• Because it equals zero

• Because it equals one

• Because it involves division by zero

What is the result of 2 to the power of negative 3?

• 1/8

• 8

• 2

• 1/2

How do you simplify 5 to the power of negative 2?

• 1/5

• 5

• 1/25

• 25

Using the quotient rule, what is the result of 3 to the power of 5 divided by 3 to the power of 5?

• 0

• 3

• 1

• Undefined

What is the simplified form of x to the power of 3 divided by x to the power of 10?

• 1/x^3

• x^3

• 1/x^7

• x^7

What is the result of 3 to the negative fourth power?

• 81

• 1/81

• 9

• 1/9

How do you simplify 9 times y to the negative third power over y to the fifth power?

• 9/y^2

• 9y^8

• 9/y^8

• 9y^2

What is the simplified form of n to the fourth times n to the negative seventh all over six?

• 6n^3

• 1/(6n^3)

• n^3/6

• 1/(n^3)

If a faucet leaks one drop per second, and each drop is 50 to the negative second power liters, how many liters leak in one hour?

• 3.6 liters

• 0.144 liters

• 0.36 liters

• 1.44 liters