Simplifying Exponents and Powers

The video tutorial covers simplifying expressions with exponents, focusing on using the product of powers rule for same bases, applying order of operations for different bases, and handling negative exponents by converting them to positive through reciprocals. It also addresses common mistakes in exponent operations, such as incorrect division of exponents, and provides solutions to ensure correct simplification.

What is the result of simplifying 2^4 * 2^-7 using the product of powers rule?

• 1/2^11

• 2^-3

• 1/2^3

• 2^3

When simplifying expressions with the same base, what operation is performed on the exponents?

• Multiply the exponents

• Add the exponents

• Subtract the exponents

• Divide the exponents

What is the simplified form of 2^4 * 2^-7?

• 2^-3

• 1/2^11

• 1/2^3

• 2^3

What operation is performed on exponents when multiplying powers with the same base?

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

• Add the exponents

What is the simplified form of 2^4 * 2^-7?

• 2^-3

• 1/2^3

• 2^3

• 1/2^11

What operation is performed on exponents when multiplying powers with the same base?

• Divide the exponents

• Multiply the exponents

• Add the exponents

• Subtract the exponents

How do you simplify an expression with different bases but the same power, such as 3^2 * 4^2?

• Multiply the bases and raise to the power

• Add the bases

• Divide the bases

• Subtract the bases

What is the simplified form of (3 * 4)^2?

• 7^2

• 3^2 * 4^2

• 6^2

• 12^2

What is the result of raising a power to another power, such as (12^2)^5?

• 12^12

• 12^5

• 12^7

• 12^10

How do you simplify expressions with different bases but the same power?

• Subtract the bases

• Multiply the bases and raise to the power

• Divide the bases

• Add the bases