Properties of Exponents and Logarithms

 $\frac{5x^{-3}y^5}{25x^{-4}y^3}$  

•  $\frac{x^7y^2}{5}$  

•  $\frac{xy^{2\ }}{5}$  

•  $\frac{y^2}{5x}$  

•  $5xy^{2\ }$  

Tags

CCSS.HSA.APR.A.1

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Tags

CCSS.8.EE.A.1

(9w²x⁸)(w⁶x⁴)

• 9w⁸x¹²

• 9w¹²x³²

• 81w⁸x¹²

• 81w¹²x³²

Tags

CCSS.HSA.APR.A.1

(5x²)⁰(9x)²

• 45x⁴

• 81x

• 81x²

• 0

Tags

CCSS.HSA.APR.A.1

Expand the logarithm:  $\log\ \frac{x^3}{zy^4}$  

• log(x) + log(z) + 4log(y)

• 3log(x) − log(z) − 4log(y)

• 3log(x) + log(z) + 4log(y)

• log(x) − 4log(z) − 3log(y)

Condense the logarithms:  $5\log a-25\ \log b$  

• 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)

 $\log_8\left(x\cdot y\cdot z^6\right)$  Expand the logarithm:

• 6log₈(xyz)

• log₈(x) - log₈(y) - 6log₈(z)

• log₈(x) + log₈(y) - log₈(z)

• log₈(x) + log₈(y) + 6log₈(z)

Use your calculator (and change of base) to evaluate the logarithm:  $\log_583$  

• 3.091

• 2.365

• 2.746

• 1.804

Use your calculator (and change of base) to evaluate the logarithm:  $\log_218$  

• 4.965

• 3.408

• 4.17

• 2.212