Zero and Negative Exponents

Front

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

Back

1

Front

What is the simplified form of x^0?

Back

1

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.

Front

Simplify: 2^{-3}

Back

1/8

Front

What is the simplified form of (a^m)/(a^n)?

Back

a^(m-n) when a ≠ 0.

Front

What is the simplified form of (x^0)(y^0)?

Back

1.

Front

Simplify: 5^{-2}

Back

1/25

Front

What is the result of any number raised to the power of 1?

Back

The number itself.

Front

If a^0 = 1, what can we say about the base 'a'?

Back

'a' must be a non-zero number.

Front

What is the simplified form of (3^2)/(3^5)?

Back

1/27 or 3^{-3}.