Exponent Review

Front

What is the Quotient Rule for exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

How do you simplify x^(-n)?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

Simplify: 2^5 / 2^2

Back

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

Front

Simplify: (3x^2)^3

Back

3^3 * x^(2*3) = 27x^6.

Front

What is the value of 1 / x^0?

Back

1 / x^0 = 1, since any non-zero number raised to the power of 0 is 1.

Front

Evaluate: (2^3 * 2^2) / 2^4

Back

2^(3+2-4) = 2^1 = 2.

Front

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

Back

a^3 * b^(2*3) = a^3 * b^6.

Front

If a = 2 and b = 3, what is the value of (ab)^2?

Back

(2*3)^2 = 6^2 = 36.