MYP4: WK5 Investigation #3: Zero and Negative Exponents

These flashcards cover the key concepts of simplifying expressions with zero and negative exponents, the division property of exponents, and the significance of these exponents.

What is the division property of exponents used for in step 1?

To simplify expressions involving exponents by subtracting the exponent of the denominator from the exponent of the numerator.

What happens to the exponent when you divide two terms with the same base?

You subtract the exponent of the denominator from the exponent of the numerator.

If an expression simplifies to an exponent of zero, what does this signify about the base?

The base raised to an exponent of zero equals one, provided the base is not zero.

What indicates that an exponent will be negative when simplifying an expression?

When the numerator has a smaller exponent than the denominator during simplification.

What is the expanded form of a base raised to a negative exponent like 2^{-4}?

1/(2^4), which indicates the reciprocal of the base raised to a positive exponent.

What does a base raised to an exponent of zero, such as x^0, equal?

1, as long as x is not zero.

What should you do in step 3 regarding problems b, d, and h?

Write them out in their expanded form and reduce to a fraction with no exponents.

How can you distinguish positive, negative, and zero exponents in step 2?

By analyzing the original expression and determining whether the base is in the numerator or denominator.