Learning to use the one to one property to solve an exponential equation

The video tutorial explains the one-to-one property of exponents, highlighting that when bases are the same, their powers are equal. It addresses the problem of different bases in equations and demonstrates how to rewrite numbers to have the same base. The tutorial applies the power rule of exponents to solve the equation, ultimately using the one-to-one property to find the solution.

What is the one-to-one property of exponents?

• If two expressions have different exponents, their bases are equal.

• If two expressions have the same base, their exponents are equal.

• If two expressions have the same exponent, their bases are equal.

• If two expressions have different bases, their exponents are equal.

How can the number 4 be rewritten as an exponent with base 2?

• 2 cubed

• 2 squared

• 2 to the power of 4

• 2 to the power of 8

What is the power rule of exponents?

• Add the exponents when multiplying like bases.

• Divide the exponents when an exponent is raised to another power.

• Subtract the exponents when dividing like bases.

• Multiply the exponents when an exponent is raised to another power.

After rewriting the equation with the same base, what should be done next?

• Add the exponents together.

• Set the exponents equal to each other.

• Divide the exponents by each other.

• Multiply the exponents together.

What is the solution to the equation 2^2X = 2^8?

• X = 5

• X = 2

• X = 3

• X = 4