Exponent Rules

Front

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

Back

1

Front

Simplify: (x^2)^3

Back

x^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: 5x^3 * (2x^2)

Back

10x^5

Front

What is the quotient of powers rule?

Back

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

Front

Simplify: \frac{9a^3b^5}{-3ab^2}

Back

-3a^2b^3

Front

What is the power of a product rule?

Back

When raising a product to a power, raise each factor to the power: (ab)^n = a^n * b^n.

Front

Simplify: (3x^2y)^2

Back

9x^4y^2

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify: (2x^3)^3

Back

8x^9