Laws of Exponents

Front

What is the product of powers rule in exponents?

Back

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

Front

Simplify: 5³⋅5⁴

Back

5⁷

Front

What happens when any number is raised to the power of zero?

Back

Any number raised to the power of zero equals 1.

Front

Simplify: (x³)(x²)

Back

x⁵

Front

What is the power of a power rule in exponents?

Back

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

Front

Simplify: (x²)⁴

Back

x⁸

Front

What is the quotient of powers rule in exponents?

Back

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

Front

Simplify: 7⁵ / 7²

Back

7³

Front

What is the power of a product rule in exponents?

Back

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

Front

Simplify: (9y)³

Back

729y³