Exponent Rules and Simplification

The video tutorial explains how to handle exponents, focusing on raising products and quotients to various powers. It covers the properties of exponents, such as multiplying exponents when raising a power to another power and simplifying expressions with negative exponents. The tutorial provides examples to illustrate these concepts, including simplifying products and quotients of exponents.

What is the result of raising a product of two numbers to an exponent?

• Add the exponents of the numbers

• Divide each number by the exponent

• Multiply each number by the exponent

• Raise each number to the exponent and multiply the results

What is the simplified form of 3^8 * 7^3 raised to the -2 power?

• 1 / (3^16 / 7^6)

• 1 / (3^16 * 7^6)

• 3^16 * 7^6

• 3^16 / 7^6

What is the simplified form of 3^8 * 7^3 raised to the -2 power?

• 1 / (3^16 / 7^6)

• 3^16 * 7^6

• 1 / (3^16 * 7^6)

• 3^16 / 7^6

How do you simplify an expression where an exponent is raised to another exponent?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

If you have a^(-2) * b^7 raised to the 2nd power, what is the simplified form?

• a^(-4) / b^14

• a^4 / b^14

• a^(-4) * b^14

• a^4 * b^14

When raising a quotient to a power, what should you do with the numerator and denominator?

• Add the power to both the numerator and denominator

• Raise both the numerator and denominator to the power

• Raise only the denominator to the power

• Raise only the numerator to the power

What is the result of simplifying 2^(-10) / 4^2 raised to the 7th power?

• 2^98

• 2^(-98)

• 2^(-70) / 2^28

• 2^(-70) / 4^14

How can you express 4^14 in terms of powers of 2?

• 2^56

• 2^7

• 2^14

• 2^28

What is the simplified form of 2^(-7) / 2^28?

• 2^(-35)

• 2^21

• 2^(-21)

• 2^35

What is the general rule for simplifying a quotient of powers with the same base?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents