Exponent Quotient Rules/Mixed Practice

Front

What is the Exponent Quotient Rule?

Back

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

Front

Simplify: a^5 / a^2

Back

a^3

Front

Simplify: (x^3)^4

Back

x^12

Front

What happens when you raise a power to a power?

Back

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

Front

Simplify: 2^5 / 2^3

Back

2^2

Front

What is the result of any non-zero number raised to the power of 0?

Back

1 (a^0 = 1 for a ≠ 0).

Front

Simplify: (3x^2y^3)^2

Back

9x^4y^6

Front

What is the product of powers rule?

Back

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

Front

Simplify: x^4 * x^3

Back

x^7

Front

What is the negative exponent rule?

Back

a^-n = 1/a^n.