Unit 5A Exponent Rules

Front

What is the power of a product rule in exponents?

Back

When multiplying two bases with the same exponent, you can add 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, you multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the power of a quotient rule in exponents?

Back

When dividing two bases with the same exponent, you can subtract the exponents: a^m / a^n = a^(m-n).

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^-n = 1/a^n.

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: (a^3b)^4

Back

a^12b^4.

Front

Simplify: 5^{-2}

Back

1/25.

Front

Simplify: (7uv^2)^{-5}

Back

1/(7^5u^5v^{10}).

Front

Simplify: (3x^3y^5)^4

Back

81x^{12}y^{20}.

Front

Simplify: 5c^2 ⋅ (2c^3)^4

Back

80c^{14}.