Exponent Rules and Simplification

The video tutorial guides viewers through simplifying a mathematical expression involving exponents. It begins by defining the expression and proceeds with step-by-step instructions on how to simplify it. The process includes handling exponents, combining like terms, and ensuring no negative exponents remain. The tutorial concludes with the presentation of the final simplified expression.

What is the initial expression that needs to be simplified?

• x^7 * y * z^6 / (x * y^2 * z^3)

• x^4 * y^3 * z^6 / (x * y^2 * z^2)

• x^5 * y^2 * z^5 / (x^2 * y * z)

• x^6 * y * z^7 / (x * y^2 * z^2)

What should you do if an exponent is missing in the expression?

• Multiply by two

• Add an exponent of one

• Add an exponent of zero

• Ignore it

When grouping terms with the same base, what is the next step?

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

• Add the exponents

What is the first step in simplifying an expression with exponents?

• Subtract exponents of like bases

• Add all exponents

• Divide all terms

• Multiply all terms

How do you simplify x^6 divided by x?

• x^4

• x^5

• x^6

• x^7

What is the result of simplifying y divided by y^2?

• y^0

• y^2

• y^-1

• y

What is the simplified form of z^7 divided by z^2?

• z^5

• z^6

• z^9

• z^4

What is the result of subtracting the exponents of x in the expression?

• x^7

• x^5

• x^6

• x^4

What is the result of subtracting the exponents of z in the expression?

• z^5

• z^6

• z^4

• z^7

What should be done with negative exponents in the final expression?

• Leave them as they are

• Multiply by negative one

• Convert them to positive by moving to the denominator

• Convert them to zero