Laws of Exponents

Front

What is the Quotient Rule of Exponents?

Back

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

Front

Evaluate: 9^5 / 9^0

Back

9^5 (Any number to the power of 0 is 1).

Front

What happens when you raise a power to a power?

Back

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

Front

Evaluate: (x^3y)^6

Back

x^18y^6 (Distribute the exponent to both x and y).

Front

What is a negative exponent?

Back

A negative exponent indicates the reciprocal: a^-n = 1/a^n.

Front

Make this negative exponent positive: 9^-3

Back

1/9^3.

Front

What is the Product Rule of Exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

Evaluate: n^2 * n^4 * n^5

Back

n^11 (Add the exponents).

Front

According to exponent rules, when we multiply the same base we _______ the exponents.

Back

Add.

Front

What is the value of 2^3?

Back

8 (2 multiplied by itself 3 times).