Laws of Exponents

Front

What happens to the exponents when multiplying expressions with the same base?

Back

You add the exponents.

Front

What is the result of 3 raised to the power of -4?

Back

3^-4 is equal to 1/(3^4) or 1/81.

Front

What happens to the exponents when dividing expressions with the same base?

Back

You subtract the exponents.

Front

What happens to the exponents when raising coefficients to a power?

Back

You multiply the exponents.

Front

Simplify the expression (-4r^5)(2r^8). What is the result?

Back

The result is -8r^13.

Front

What is the exponent rule for multiplying powers with the same base?

Back

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

Front

What is the exponent rule for dividing powers with the same base?

Back

a^m / a^n = a^(m-n).

Front

What is the exponent rule for raising a power to another power?

Back

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

What is the value of a negative exponent, such as a^-n?

Back

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