Solve an exponential equation when your base is a fraction

The video tutorial explains how to solve mathematical problems involving fractions and logarithms. The instructor emphasizes the importance of avoiding fractions by rewriting them in simpler forms. A specific example is given where 1/2 to the power of X is rewritten as 2 to the negative X. The one-to-one property is used to solve equations by matching bases. The key takeaway is to avoid fractions and remember the rule that X to the negative first equals 1/X.

Why does the teacher suggest avoiding fractions when solving problems?

• Fractions are not used in mathematics.

• Fractions are not allowed in logarithms.

• Fractions make problems unnecessarily complicated.

• Fractions are too complex to understand.

How can 1/2 raised to the X power be rewritten using a negative exponent?

• 2 to the X

• X to the 2

• 2 to the negative X

• 1 to the X

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

• To add exponents with different bases

• To multiply exponents with the same base

• To equate exponents when the bases are the same

• To divide exponents with different bases

What is the result of 2 raised to the 5th power?

• 64

• 128

• 32

• 16

What rule should be memorized according to the teacher?

• X to the negative first equals 1/X

• X to the first equals X

• X squared equals X times X

• X cubed equals X times X times X