Understanding Exponents and Simplification

The video tutorial explains how to rewrite an expression with negative exponents into one with positive exponents. It begins by introducing the problem and explaining the concept of negative exponents. The tutorial then demonstrates how to rewrite the expression step-by-step, followed by simplifying it using exponent rules. Finally, the expression is evaluated when x equals 2, resulting in a final value of 1/50.

What is the first step in rewriting an expression with negative exponents?

• Multiply all terms by zero

• Convert negative exponents to positive exponents

• Add all exponents together

• Divide the expression by 2

How can x to the power of negative 3 be rewritten?

• 1/x^3

• 3x

• x/3

• x^3

What is the equivalent of 5 to the power of negative 2?

• 5/2

• 1/5^2

• 5^2

• 2/5

After converting negative exponents, what is the next step in simplifying the expression?

• Subtract the exponents

• Multiply the terms in the numerator

• Add all terms together

• Divide the terms in the denominator

What is the result of multiplying 1 times 1 times x squared in the numerator?

• 2x

• 1

• x^3

• x^2

How do you simplify x squared over x to the third?

• 1/x

• x^3

• x

• x^2

What is the simplified form of the expression before evaluating it for x?

• 1/25x

• 25x

• x/25

• 25/x

What is the value of the expression when x equals 2?

• 1/25

• 1/50

• 2/25

• 50

What is the final step after rewriting the expression with positive exponents?

• Multiply the expression by zero

• Add all exponents together

• Evaluate the expression for a given value of x

• Divide the expression by x

What is the purpose of rewriting expressions with positive exponents?

• To eliminate the need for variables

• To decrease the value of the expression

• To increase the value of the expression

• To make calculations easier