Properties and Operations of Exponents

The video tutorial explains how to simplify and evaluate expressions using exponential rules. It covers the properties of exponents, such as multiplying and dividing powers with the same base, and raising a power to another power. Two examples are provided: the first involves simplifying and evaluating 2 to the power of 10, and the second involves simplifying a more complex expression involving powers of 3. The tutorial emphasizes using a calculator for large exponent calculations.

What is the first step in simplifying an expression with the same base?

• Subtract the exponents

• Multiply the bases

• Add the exponents

• Divide the bases

How do you evaluate 2 to the power of 10?

• By dividing 10 twos

• By adding 10 twos

• By multiplying 10 twos

• By subtracting 10 twos

When raising a power to another power, what operation is performed on the exponents?

• Add the exponents

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

In the expression 3 to the fourth squared, what is the result of multiplying the exponents?

• 3 to the power of 12

• 3 to the power of 8

• 3 to the power of 16

• 3 to the power of 6

What is the result of 3 to the power of 8 multiplied by 3 to the sixth?

• 3 to the power of 14

• 3 to the power of 12

• 3 to the power of 16

• 3 to the power of 18

How do you simplify a quotient of exponents with the same base?

• Add the exponents

• Subtract the exponents

• Divide the exponents

• Multiply the exponents

What is the result of 3 to the power of 14 divided by 3 to the ninth?

• 3 to the power of 5

• 3 to the power of 8

• 3 to the power of 6

• 3 to the power of 7

What is the value of 3 to the fifth?

• 81

• 729

• 125

• 243

Which of the following is a property of exponents?

• Exponents are always added

• Exponents are always divided

• Exponents are always subtracted

• Exponents can be added, subtracted, or multiplied depending on the operation