Review Rules of Exponents and Rational Exponents

Front

What is the Quotient Rule for exponents?

Back

When dividing two expressions with the same base, subtract the exponent of the denominator from the exponent of the numerator: a^m / a^n = a^(m-n).

Front

What happens when you multiply two expressions with the same base?

Back

You add the exponents: a^m * a^n = a^(m+n).

Front

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

Back

1, except for 0^0 which is undefined.

Front

How do you express a rational exponent as a radical?

Back

a^(m/n) = n√(a^m).

Front

What is the value of 9^5 / 9^9?

Back

9^(-4) or 1/(9^4).

Front

What is the definition of a negative exponent?

Back

a^(-n) = 1/(a^n) for any non-zero a.

Front

How do you convert a radical expression to an exponential form?

Back

n√(a) = a^(1/n).

Front

What is the product of 2^3 and 2^2?

Back

2^(3+2) = 2^5.

Front

If a^m = b^m, what can we conclude about a and b?

Back

If m is a positive integer, then a = b.

Front

What is the result of (x^3)^2?

Back

x^(3*2) = x^6.