Lesson Evaluation on Laws of Indices

Solve the problem below:

 $5^2\times\ 3^2$  

•  $5^2$  

• 215

• 225

•  $15^4$  

 $\frac{10x^5\ +14y^3}{5x^{3\ }+7y}$  

Which law of indices applies to the problem above?

• Multiplication law

• Zero Law

• Division Law

• Power raised to a power 

 $\frac{10x^5+14y^3}{5x^3+7y}$  

Solve the question above, leaving your answer in index form:

•  $5x^{8\ }-14y^3$  

•  $5x^2\ -7y^2$  

•  $7y^2+\ 5x^{3\ }$  

•  $5x^2+7y^2$  

What is the correct law for multiplication? a^m x aⁿ =

• a^m+n

• a^m + aⁿ

• a^mxn

• a^mn

 $2^2\times2^{-2}$  

•  $2^1$  

• 4

•  $2^{-1}$  

• 1

Simplify: 3x³ × 6x⁸

• 18x¹¹

• 18x²⁴

• 9x¹¹

• 9x²⁴

Simplify: w²⁴ ÷ w⁸

• w¹⁶

• w³

• w³²

• w^24/8

What is the correct law for powers of powers? (a^m)ⁿ =

• a^mxn

• a^m+n

• a^m x aⁿ

• a^men

What is the correct law for division? a^m ÷ aⁿ =

• a^m-n

• a^m - aⁿ

• a^m÷n

• a^m/n

 $\frac{x^4}{x}=$  Solve this indices question. 

•  $\left(x\div1\right)^4$  

•  $x^{\left(4\div1\right)}$  

•  $x^{\left(4-0\right)}$  

•  $x^{\left(4-1\right)}$