Solving Equations with Rational Exponents

This video tutorial teaches how to solve equations with rational exponents by following the order of operations. It starts with simple exponent equations and progresses to more complex ones involving fractions and parentheses. The tutorial emphasizes taking equations one step at a time and checking solutions for accuracy. By the end, viewers will understand how to handle complex equations and verify their solutions.

What is the value of m if 7 to the power of 2m equals 7 to the power of 8?

• m = 8

• m = 6

• m = 4

• m = 2

If 6 to the power of 3x equals 6 to the power of 3, what is the value of x?

• x = 3

• x = 2

• x = 1

• x = 0

How do you simplify 6 to the power of negative 18 times 6 to the power of negative 6 over 6 to the power of negative 6?

• 6 to the power of 6

• 6 to the power of negative 12

• 6 to the power of negative 18

• 6 to the power of 0

What operation is necessary to isolate n when the equation is 5n minus 1 equals 8/27?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 1 from both sides

• Add 1 to both sides

What is the final value of n when solving 5n equals 35/27?

• n = 5/27

• n = 7/27

• n = 27/35

• n = 35/5