Solving Exponential equations

The video tutorial explains how to rewrite numbers in the same base to utilize one-to-one properties of exponents. It demonstrates the process of applying the distributive property to simplify equations and solve for variables. The tutorial concludes by solving an equation using these methods, providing a clear example of the concepts in action.

What is the purpose of rewriting expressions to have the same base?

• To change the base to ten

• To use the one-to-one properties of exponents

• To simplify the expression

• To make the equation longer

How can 16 be rewritten using base four?

• 4 squared

• 4 to the power of one

• 4 to the power of four

• 4 cubed

What property is applied after rewriting the expression with the same base?

• Identity property

• Associative property

• Commutative property

• Distributive property

When the bases are the same, what must be true about the powers?

• They must be different

• They must be equal

• They must be zero

• They must be negative

What is the final value of X after solving the equation?

• -4

• 4

• 12

• -12