Learn how to solve an exponential equation by getting the bases same

The video tutorial explains the application of the one-to-one property in mathematics, focusing on rewriting numbers with the same base and applying the power rule of exponents. It demonstrates how to express numbers like 64 and 4 as powers of the same base, specifically using the base 4, and highlights the importance of understanding exponent rules.

What is the primary goal when applying the one-to-one property?

• To solve quadratic equations

• To simplify fractions

• To rewrite numbers with the same base

• To find the greatest common factor

How can the number 64 be expressed as a power of 4?

• 4^5

• 4^2

• 4^3

• 4^4

What is the value of 4^3?

• 16

• 32

• 128

• 64

Which rule is applied when dealing with exponents in this context?

• Product rule

• Chain rule

• Quotient rule

• Power rule

What does the power rule of exponents state?

• The sum of exponents is equal to the product of bases

• The product of exponents is equal to the sum of bases

• The exponent of a power is multiplied by the exponent of the base

• The exponent of a power is added to the exponent of the base