Exponent Rules

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

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

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

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.

Front

Simplify: (6m^7)/(4m^3)^2

Back

(3/8)m

Front

Simplify: x^10⋅x^4

Back

x^14

Front

Simplify: (-5p)^2

Back

25p^2

Front

Simplify: x^8/x^2

Back

x^6

Front

Simplify: (5p^9q^3)(2pq^7)

Back

10p^10q^10