Rewriting an equation so that they have same base and you can solve, 16^(2x)=(1/8)^(x+3)

The video tutorial explains how to handle exponents and fractions in mathematical expressions. It covers the application of the power rule, rewriting numbers with different bases, and solving equations using exponent rules. The tutorial emphasizes the importance of eliminating fractions and finding common bases to simplify expressions.

What is the first step the teacher suggests when dealing with equations that include fractions?

• Apply the power rule

• Get rid of the fractions

• Rewrite the bases

• Multiply the exponents

Which base is used to rewrite both 8 and 16 in the lesson?

• Base 4

• Base 8

• Base 16

• Base 2

What is the result of equating the exponents in the equation discussed in the lesson?

• 8x = 3x - 9

• 8x = -3x - 9

• 8x = 3x + 9

• 8x = -3x + 9

What is the final value of x obtained in the lesson?

• x = -9/11

• x = 9/11

• x = -11/9

• x = 11/9

What mathematical operation is performed after equating the exponents to solve for x?

• Divide both sides by 3

• Add 3x to both sides

• Subtract 3x from both sides

• Multiply both sides by 3