Simplifying Exponents and Division

The video tutorial explains how to divide a binomial by a monomial, focusing on simplifying each term individually. It covers the application of exponent rules, particularly the quotient property, and addresses handling negative exponents by converting them to positive. The tutorial concludes with a fully simplified expression, ensuring understanding of the division process and exponent manipulation.

What is the first step when dividing a binomial by a monomial?

• Subtract the monomial from each term in the numerator.

• Add the monomial to each term in the numerator.

• Divide each term in the numerator by the monomial.

• Multiply each term in the numerator by the monomial.

Tags

CCSS.HSA.APR.D.6

When dividing 6x^7 by -2x^7, what is the result?

• -3x^0

• -3x^7

• 3x^7

• 3x^0

Tags

CCSS.8.EE.A.1

What is the result of applying the quotient property of exponents to x^7 / x^7?

• x^7

• x^1

• x^0

• x^14

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

How do you simplify 12 divided by -2?

• -6

• 6

• 12

• -12

Tags

CCSS.8.EE.A.1

What is the simplified form of x^3 / x^7?

• x^10

• x^0

• x^-4

• x^4

Tags

CCSS.8.EE.A.1

How do you handle a negative exponent in the denominator?

• Add it to the numerator.

• Move it to the numerator and change the sign.

• Leave it as is.

• Multiply it by the numerator.

Tags

CCSS.8.EE.A.1

What is the simplified form of 6 over x^-4?

• x^4/6

• 6/x^4

• 6x^-4

• 6x^4

Tags

CCSS.HSA.APR.A.1

Why do we have x^4 in the denominator in the final simplified form?

• Because there are more factors of x in the numerator.

• Because there are more factors of x in the denominator.

• Because the exponents are added.

• Because the exponents are multiplied.

Tags

CCSS.HSA.APR.D.6

What is the final simplified quotient of the given division problem?

• 3 - 6/x^4

• 3 - 6x^4

• -3 + 6/x^4

• -3 + 6x^4

Tags

CCSS.5.NF.B.5B

What is the importance of ensuring variables are non-zero in division?

• To avoid undefined expressions.

• To simplify calculations.

• To ensure positive results.

• To make the division easier.

Tags

CCSS.5.NF.B.5B