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 is any number raised to the power of zero?

Back

1

Front

Simplify 2^0

Back

1

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 3^4 x 3^7

Back

3^11

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 7^5 / 7^2

Back

7^3

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

What is the power of a quotient rule in exponents?

Back

When raising a quotient to a power, apply the exponent to both the numerator and denominator: (a/b)^n = a^n / b^n.