Exponents Expand and Condense

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

(5x²)⁰(9x)²

• 45x⁴

• 81x

• 81x²

• 0

• log (a⁵ + b²⁵)

• log (a⁵ − b²⁵)

• log (ab²⁵)

• log (a⁵/b²⁵)

Condense the logarithms: 2\log_5z\ +2\log_5x+10\log_5y

• log₅(x²z²y¹⁰)

• log₅(z²y²x¹⁰)

• log(zy²x¹⁰)

• log₅(z² + y² + x¹⁰)

Which exponent rule should be used to simplify?

• Product of Powers

• Power of a Power

• Quotient of Powers

• Negative Exponent