Negative Exponents

Front

What is a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal. For example, a^(-n) = 1/(a^n).

Front

What is the value of any non-zero number raised to the power of 0?

Back

Any non-zero number raised to the power of 0 is equal to 1.

Front

Rewrite 5^-2 using a positive exponent.

Back

1/5².

Front

What is the simplified form of x^-3?

Back

1/x³.

Front

If a^-m = 1/a^m, what does this represent?

Back

This represents the rule for negative exponents.

Front

Simplify the expression: 2^-3.

Back

1/2³ = 1/8.

Front

What is the result of (3^-1)(3²)?

Back

3¹ = 3.

Front

Rewrite the expression: y^-4z^-2 using positive exponents.

Back

1/(y⁴z²).

Front

What is the value of 10⁰?

Back

1.

Front

If x^-n = 1/xⁿ, what can we conclude about negative exponents?

Back

Negative exponents indicate the reciprocal of the base raised to the positive exponent.