Properties of exponents

Front

What is the value of -4x^0?

Back

-4

Front

What is the value of (5^3 x^2 y^4)^0?

Back

1

Front

Simplify the expression: (k^2)^5

Back

k^{10}

Front

True or False: In order to multiply powers with the same base, we add their exponents.

Back

True

Front

Simplify 4^{-2}.

Back

\frac{1}{16}

Front

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

Back

1

Front

What is the result of (a^m)(a^n)?

Back

a^{m+n}

Front

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

Back

a^{m-n}

Front

What is the value of 0^0?

Back

Indeterminate (often defined as 1 in combinatorics)

Front

What does a negative exponent indicate?

Back

It indicates the reciprocal: a^{-n} = \frac{1}{a^n}.