Zero and Negative Exponents

Front

What is the value of x^{-2} in terms of positive exponents?

Back

x^{-2} = \frac{1}{x^2}

Front

How do you rewrite 6y^{-2}z^2 using positive exponents?

Back

6y^{-2}z^2 = \frac{6z^2}{y^2}

Front

What is the simplified form of \frac{1}{x^{-2}}?

Back

\frac{1}{x^{-2}} = x^2

Front

Rewrite 7^{-10} using a positive exponent.

Back

7^{-10} = \frac{1}{7^{10}}

Front

What is the simplified form of \frac{7b^3}{a^5}?

Back

\frac{7b^3}{a^5} is already in its simplest form.

Front

What does a negative exponent indicate about a number?

Back

A negative exponent indicates that the base should be taken as the reciprocal raised to the absolute value of the exponent.

Front

How do you convert a negative exponent to a positive exponent?

Back

To convert a negative exponent to a positive exponent, take the reciprocal of the base and change the sign of the exponent.

Front

What is the result of x^0 for any non-zero x?

Back

x^0 = 1 for any non-zero x.

Front

If a^m * a^n = a^{m+n}, what happens when one of the exponents is negative?

Back

If one of the exponents is negative, it indicates division: a^m * a^{-n} = \frac{a^m}{a^n}.

Front

How do you simplify expressions with both positive and negative exponents?

Back

Combine like bases by adding or subtracting the exponents, remembering that negative exponents indicate division.