Powers of Products and Quotients Complex

The understanding of what happens to the decimal point when you multiply or divide by 10

• Move Spaces

• Fractions

• Dividend

• Powers of 10

Simplify the following:
$\left(4x^3y^2\right)^2$

• It's like "distributing" the power to each part of the top and bottom

• We subtract m and n, then multiply by p

• We exponent-ize everything

According to exponent rules, when we divide two powers with the same base we _______ the exponents.

Example: 6⁸ / 6³

• add

• subtract

• multiply

• divide

Simplify the expression.

• 1
• g¹⁰
• g²⁵
• g

Solve (hint: there's more than 1 law you must obey)

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

Simplify the expression.

• 7⁶

• 7^-5

• 1/7⁵

• 7⁵

• a⁶

• a^-60

• a⁴

• a^-7

Simplify the expression.

• 2¹⁴ z¹³

• 2²/z⁷

• 2¹⁴/ z⁷

• 2² z⁷

Simplify. Choose all correct answers. *Hint - There is more than 1.