Exponent Rules (Simple Laws of Exponents)

Front

What is the product of (3ab)²?

Back

9a²b²

Front

What is the value of (4x²y)⁰?

Back

1

Front

What is the result of (x³y²)(x²y³)?

Back

x⁵y⁵

Front

What is the quotient of \(\frac{a^5}{a^2}\)?

Back

a³

Front

What is the value of (3x²)²(2x³)?

Back

18x⁷

Front

State the first law of exponents.

Back

When multiplying like bases, add the exponents: a^m * a^n = a^(m+n).

Front

State the second law of exponents.

Back

When dividing like bases, subtract the exponents: a^m / a^n = a^(m-n).

Front

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

Back

1

Front

What is the power of a product rule?

Back

(ab)ⁿ = aⁿbⁿ.

Front

What is the power of a power rule?

Back

(a^m)ⁿ = a^(m*n).