Zero and Negative Exponents

Front

What is the value of any non-zero number raised to the power of zero?

Back

1

Front

How can you express a negative exponent as a positive exponent?

Back

By taking the reciprocal of the base raised to the positive exponent.

Front

What is the simplified form of y^0?

Back

1

Front

What is the simplified form of (-9)^0?

Back

1

Front

What is the result of g^-7 in terms of positive exponents?

Back

1/g^7

Front

How do you simplify the expression (x^-5 * y^-2)/(a^-3 * b^-3)?

Back

It simplifies to (a^3 * b^3)/(x^5 * y^2).

Front

What does a negative exponent indicate about the base?

Back

It indicates that the base is in the denominator.

Front

What is the general rule for simplifying expressions with zero exponents?

Back

Any non-zero base raised to the zero exponent equals 1.

Front

If a^m * a^n = a^p, what is the relationship between m, n, and p when m and n are both zero?

Back

p = 0.

Front

What happens to the value of a number when it is raised to a negative exponent?

Back

It becomes the reciprocal of the number raised to the positive exponent.