Powers of Products and Quotients. Exponent Rules. Fun Math Help Games. Arithmetic & Literacy Help by SliderMath.

Powers of Products and Quotients     Exponent Rules Help     Fun Game Tips:

- The power of a product such as (a³b²)⁴ simplifies to a¹²b⁸ .
   Exponent rules cannot reduce a¹²b⁸ since the base 'a' is different from the base 'b'.

- The power of a quotient such as (a³/ b²)⁴ simplifies to a¹²/ b⁸ which is equivalent to a¹²b^-8.

- In general, a power of a product (a^mbⁿ)^u simplifies to a^mub^nu .
- In general, a power of a quotient (a^m/ bⁿ)^u simplifies to a^mu/ b^nu which is equivalent to a^mub^-nu.

- Here are three examples of using exponent rules to simplify powers:
   (ky⁵)² = k²y¹⁰
   (r^-5w⁴)³/ w² = r^-15w¹⁰
   (3²)/(2^-1)³ = 3²/ 2^-3 which equals (3²)(2³) = (9)(8) = 72.

- After the first 4 questions in this game, the exponents become more challenging.

- Refresh/Reload the web page to start over again.
- If the game doesn't respond to keyboard input,
    click inside the game area to reset the game's focus.
- Adjust the game's speed by pressing the - and + keys repeatedly.