5.0 Negative Exponents and Zero Power

Front

What is the rule for negative exponents?

Back

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

Front

How do you rewrite a number with a negative exponent?

Back

To rewrite a number with a negative exponent, take the reciprocal of the base raised to the positive exponent.

Front

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

Back

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

Front

Simplify: 5^-2

Back

1/(5^2) = 1/25.

Front

What is the simplified form of x^-3?

Back

1/(x^3).

Front

How do you simplify a fraction with negative exponents in the numerator and denominator?

Back

Convert negative exponents to positive by taking the reciprocal of the base.

Front

What is the simplified form of 2^-3?

Back

1/(2^3) = 1/8.

Front

If a variable y has a negative exponent, how can it be expressed positively?

Back

y^-n = 1/(y^n).

Front

What is the result of simplifying -12(x⁰)?

Back

-12, since x⁰ = 1.

Front

How do you handle negative exponents when multiplying variables?

Back

When multiplying variables with negative exponents, add the exponents and convert to positive if necessary.