Exponent Laws and Logarithmic Concepts

This video tutorial covers exponent laws, including handling negative exponents and converting between radical and rational forms. It provides examples to illustrate these concepts. The tutorial also introduces basic logarithms, explaining how to interpret and solve logarithmic expressions using inverse operations.

What happens when we have a negative exponent?

• It is ignored.

• It becomes zero.

• It becomes a positive exponent.

• It is rewritten as a reciprocal.

When multiplying terms with like bases, what do you do with the exponents?

• Divide them.

• Multiply them.

• Subtract them.

• Add them.

How do you simplify an expression with a negative exponent?

• By multiplying the exponent by -1.

• By ignoring the negative sign.

• By rewriting it as a reciprocal.

• By adding 1 to the exponent.

What is the result of (a^3 b^2) raised to the power of -2?

• 1 over (a^6 b^4)

• 1 over (a^3 b^2)

• (a^6 b^4)

• (a^-6 b^-4)

When dividing like bases, what do you do with the exponents?

• Add them.

• Subtract them.

• Multiply them.

• Divide them.

How do you rewrite a radical expression with a rational exponent?

• By dividing the exponents.

• By subtracting the exponents.

• By converting it to a radical form.

• By adding the exponents.

What is the cube root of 7 raised to the power of 5/3?

• 7 raised to the power of 5

• 7 raised to the power of 5/3

• 7 raised to the power of -5/3

• 7 raised to the power of 3/5

What is the base of a logarithm if it is not specified?

• 2

• e

• 10

• 1

How do you solve the logarithmic equation log base 6 of 36 equals X?

• X = 1

• X = 6

• X = 2

• X = 36

What is the value of X in the equation log of 1000 equals X?

• 4

• 1

• 2

• 3