Rewriting Exponential Functions with Exponent Rules

This video tutorial covers the rules of exponents, including the product of powers, power of a power, and power of a product. It explains zero and negative exponents and demonstrates how to apply these rules through various examples. The tutorial aims to help viewers rewrite exponential functions using these rules effectively.

What happens when you multiply two exponents with the same base?

• None of the above

• You subtract the exponents

• You add the exponents

• You divide the exponents

In the expression x^(a+b), if x=2, a=3, and b=4, what is the value of the expression?

• 256

• 128

• 32

• 64

What is the result of any number raised to the zero power?

• The base number

• Undefined

• 0

• 1

How do you handle a negative exponent?

• None of the above

• Multiply the base by itself

• Convert the base to its reciprocal and raise it to the positive exponent

• Add the exponent to the base

What does a negative exponent indicate in terms of the base?

• Multiply the base by itself

• None of the above

• Take the reciprocal of the base

• Add one to the base

If you have a function 410 * 5^(2t), how can it be simplified using exponent rules?

• 820 * 5^t

• 205 * 5^t

• 410 * 25^t

• 410 * 10^t

What is the simplified form of 0.9^(2t+2)?

• 0.81 * 0.9^(2t)

• 0.81 * 0.9^t

• 0.81^t * 0.9

• 0.81^(2t) * 0.9^2

How would you rewrite the function 500 * 1.3^(t+2)?

• Both A and C

• 845 * 1.3^t

• 500 * 1.3^t * 1.3^2

• 500 * 1.69 * 1.3^t

What is the value of 4^3?

• 12

• 16

• 81

• 64

If a function is modeled as 4,900 * 4^(3t), what is the simplified form using exponent rules?

• 19,600 * 4^t

• 4,900 * 64^t

• 4,900 * 12^t

• 14,700 * 8^t