Exponent Laws and Equation Solving Mastery

This video tutorial covers essential exponent laws, including multiplication, division, power of a power, and product to a power. It explains zero, negative, and fractional exponents, providing a comprehensive understanding of these concepts. The tutorial concludes with an example problem, demonstrating how to apply these laws to solve equations commonly found in IB math exams.

What is the result of multiplying x^2 by x^3?

• x^6

• x^5

• x^9

• x^8

If you divide x^6 by x^3, what is the result?

• x^1

• x^9

• x^3

• x^2

What is the result of (x^5)^2?

• x^25

• x^15

• x^10

• x^7

How can you simplify (xy)^3?

• x^3 * y^3

• x^3 + y^3

• x^3 - y^3

• x^3 / y^3

What is the value of any nonzero number raised to the power of zero?

• The number itself

• Undefined

• 1

• 0

How can you rewrite x^-3?

• x^-1/3

• 1/x^3

• 1/x^-3

• x^3

What does the denominator in a fractional exponent represent?

• The power

• The root

• The base

• The coefficient

How can you express 1/3 as a power of 3?

• 3^3

• 3^-1

• 3^0

• 3^1

In the equation 1/3^(5-4x) = 27^(2x-3), what is the base that can be used to simplify both sides?

• 9

• 27

• 3

• 1

What is the value of x in the equation 1/3^(5-4x) = 27^(2x-3)?

• 2

• 3

• 4

• 1