Laws of Exponents (Products & Quotients)

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 the expression: c^4 ⋅ c^3 = ?

Back

c^7

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 the expression: 5^2 ⋅ 5^1 = ?

Back

5^3

Front

What happens when you raise a power to a power?

Back

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

Front

Simplify the expression: (2m^4)(5m^2) = ?

Back

10m^6

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

Simplify the expression: (6x^2)(-3x^5) = ?

Back

-18x^7

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n) for a ≠ 0.

Front

Simplify the expression: x^5 / x^2 = ?

Back

x^3