review ch 10.1-10.4

Front

Rewrite using a positive exponent: 7^-10

Back

\frac{1}{7^{10}}

Front

Multiply: 6r * 5r^2

Back

30r^{3}

Front

Simplify: (x^2)^3

Back

x^{6}

Front

Simplify: (r^4)^6

Back

r^{24}

Front

Simplify: s^{-5} ⋅ s^{-2}

Back

\frac{1}{s^{7}}

Front

Definition: Positive Exponent

Back

An exponent that is greater than zero, indicating how many times to multiply the base by itself.

Front

Definition: Negative Exponent

Back

An exponent that is less than zero, indicating the reciprocal of the base raised to the absolute value of the exponent.

Front

Property: Product of Powers

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^{m+n}.

Front

Property: Power of a Power

Back

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

Front

Property: Power of a Product

Back

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