Zero and Negative Exponent Properties

Front

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

Back

1

Front

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

Back

For any non-zero number a, a^(-n) = 1/(a^n).

Front

What is the simplified form of 7^0?

Back

1

Front

What happens to the expression (a/b)^0?

Back

It simplifies to 1, provided a and b are not zero.

Front

What is the result of simplifying the expression (x^m)/(x^n)?

Back

x^(m-n).

Front

How do you simplify the expression with negative exponents, such as a^(-3)?

Back

a^(-3) = 1/(a^3).

Front

What is the simplified form of (21x^5y^{-3}z)/(14x^4y^{-2}z^{13}) when raised to the power of 0?

Back

1.

Front

What is the result of simplifying g^(-7)?

Back

1/(g^7).

Front

What is the property of exponents that states a^m * a^n = ?

Back

a^(m+n).

Front

What is the property of exponents that states (a^m)^n = ?

Back

a^(m*n).