Laws of exponents practice

Which expression is equivalent?

• x²⁰y¹²

• x⁵y⁷

• x²⁰

• x⁵

Tags

CCSS.6.EE.A.1

Simplify the expression.

• $\frac{10k^4}{4}$

• $16k^2$

• $\frac{10}{4k}$

• $4k^4$

Tags

CCSS.8.EE.A.1

Select the equivalent expression.

• $\frac{243y^{15}}{x^{15}z^{30}}$

• $\frac{3y^{15}}{x^{15}z^{30}}$

• $\frac{243y^3}{x^8z^{11}}$

• $\frac{3y^3}{x^3z^6}$

Tags

CCSS.8.EE.A.1

The length of a rectangle is 6x³y⁴ and the width of it is 5x⁵y⁴z. Write the expression that represents the area.

• 11x⁵y⁴z

• 11x⁸y⁸z

• 30x⁸y⁸z

• 30x¹⁵y¹⁶z

Tags

CCSS.HSA.APR.A.1

The area of a rectangle is $18r^3s^2t^5$  and its length is  $2rs^5t^4$ . Write an expression to find the width of the rectangle.  

•  $\frac{9r^2t}{s^3}$  

•  $36r^4s^7t^9$  

•  $\frac{s^3}{9r^2t}$  

•  $36r^3s^{10}t^{20}$  

Tags

CCSS.HSA.APR.D.6

Simplify the expression.

• $\frac{q^{14}}{p^{13}}$

• $\frac{p^{18}}{q^{20}}$

• $\frac{p^7}{q^8}$

• $\frac{q^{20}}{p^{18}}$

Tags

CCSS.8.EE.A.1

Which expression is equivalent?

• $\frac{3x^4}{yz}$

• $\frac{1}{3x^7yz}$

• $\frac{3x^{12}y}{2z}$

• $\frac{3x^{12}}{yz}$

Tags

CCSS.HSA.APR.A.1

Write an expression to describe the volume of the rectangular prism below.

• $30x^5y^4$

• $30x^6y^4$

• $10x^6y^2$

• $10x^6y^4$

Tags

CCSS.HSA.APR.A.1

Simplify

• k¹²/ 9

• 9k²

• 1 / 9k²

• 9 / k²

Tags

CCSS.HSA.APR.A.1

Simplify (7a²)(5a⁶b)²

• 35a¹⁴b²
• 175a¹²b²
• 175a¹⁴b²
• 35a¹⁴b

Tags

CCSS.HSA.APR.A.1