Simplifying Exponents and Fractions

The video tutorial explains how to simplify a mathematical expression by following the order of operations. It begins with simplifying inside the parentheses, focusing on the numerator and denominator separately. The tutorial demonstrates using exponent rules, such as the product and quotient properties, to simplify terms with the same base. It further explains the power to power property and how to convert negative exponents to positive ones, resulting in a simplified expression with only positive exponents.

What is the first step in simplifying an expression according to the order of operations?

• Perform division

• Simplify the numerator

• Simplify the denominator

• Simplify inside the parentheses

When multiplying terms with the same base, what should you do with the exponents?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

How do you simplify a fraction when dividing terms with the same base?

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

• Add the exponents

What is the simplified form of X raised to the power of negative 1?

• X^2

• X^-1

• X

• 1/X

What property is used to simplify X raised to the power of negative three halves divided by X raised to the power of negative one half?

• Quotient property

• Product property

• Power to power property

• Negative exponent property

What is the result of raising a power to another power?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

What is the result of multiplying eight-fifths by negative four?

• 8/5

• -32/5

• 32/5

• -8/5

How do you express a term with a negative exponent as a positive exponent?

• Multiply by -1

• Add 1 to the exponent

• Move the base to the denominator

• Subtract 1 from the exponent

What is the simplified form of Y raised to the power of negative 32/5?

• Y^32/5

• 1/Y^32/5

• Y^5/32

• Y^-32/5

What is the final simplified form of the given expression?

• X^4/Y^32/5

• X^4/Y^8

• X^4/Y^32

• X^4/Y^5