Properties of Exponents

Front

What is the property of exponents that states a negative exponent indicates a reciprocal?

Back

If a^(-n) = 1/(a^n), where a ≠ 0.

Front

Simplify: 4^(-8)

Back

1/4^8

Front

What is the result of dividing two powers with the same base?

Back

a^m / a^n = a^(m-n) for a ≠ 0.

Front

Simplify: (5^8) / (5^3)

Back

5^5

Front

What is the product of powers property?

Back

a^m * a^n = a^(m+n).

Front

Simplify: (3^4)(3^7)

Back

3^11

Front

What does x^0 equal for any non-zero x?

Back

x^0 = 1.

Front

What is the power of a power property?

Back

(a^m)^n = a^(m*n).

Front

Simplify: xy^(-7)

Back

x/y^7

Front

What is the expression for x^(-2)?

Back

x^(-2) = 1/x^2.