Simplifying Rational Expressions with Exponents

What is the first step in simplifying the expression 18 over 9 times x to the 7th divided by x squared?

• Combine the terms

• Multiply the terms

• Break up the expression into separate fractions

• Add the exponents

How do you simplify 18 divided by 9?

• 3

• 1

• 2

• 0

What is the result of x to the 7th divided by x squared using the quotient property?

• x to the 2nd

• x to the 5th

• x to the 7th

• x to the 9th

In the second example, what is the simplified form of 15 divided by 5?

• 1/3

• 1/5

• 5

• 3

How do you handle negative exponents when simplifying expressions?

• Subtract them from the denominator

• Rewrite them as positive exponents in the reciprocal

• Add them to the numerator

• Ignore them

What is the simplified form of x to the 3 minus 9?

• x to the 6th

• x to the -6th

• x to the 12th

• x to the -12th

In the third example, what is the simplified form of 21 divided by 14?

• 2/3

• 2

• 3/2

• 1/2

What is the result of a to the 3 minus 3?

• a to the 6th

• a to the 0

• a to the 3rd

• a to the -3rd

How do you make negative exponents positive?

• Rewrite them in the reciprocal

• Subtract them from the denominator

• Add them to the numerator

• Ignore them

What is the simplified form of 8 divided by 12?

• 2/3

• 3/2

• 1/2

• 4/3