Using Properties of Exponents to Simplify

The video tutorial covers solving a standardized math test question using properties of exponents. It explains the problem involving bacteria growth, demonstrates the use of order of operations, and introduces the power to a power property. The solution is shown step-by-step, with an alternative method also provided.

What is the expression given in the problem that represents the number of bacteria in a Petri dish?

• 5 multiplied by 2 squared cubed

• 5 multiplied by 2 cubed squared

• 5 multiplied by 3 cubed squared

• 5 multiplied by 2 cubed

What is the first step in simplifying the expression using the order of operations?

• Clear anything in the parentheses

• Subtract the exponents

• Multiply the numbers

• Add the exponents

How do you simplify a power raised to another power?

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

What is the result of 2 to the sixth power?

• 32

• 64

• 128

• 256

What is the final number of bacteria calculated in the Petri dish?

• 400

• 240

• 160

• 320