Simplifying algebraic expressions

(a^m)ⁿ =

• a^m*n

• a^–n

• a^1/n

• none

Simplify the following expression: 
9z²+ 3z²- 7z²

• 5z⁶
• 5z⁴
• 5z²
• 19z²

 $\left(\frac{3^2}{5^3}\right)^3$ 

•  $\left(\frac{3^6}{5^9}\right)$  

•  $\left(\frac{3^5}{5^6}\right)$  

•  $\left(\frac{3^1}{5^1}\right)$  

•  $\frac{3}{5}$  

 $3^2\ \times\ 5^2\ =\ 3\ \times\ 3\ \times\ 5\ \times\ 5\ =\ ?$  

• 60

• 225

Answer explanation

Power of a product: exponent is distributed to each base in parenthesis.

Exponent outside of parenthesis it goes to both numbers.

Mathematical Equivalence

ON

 $\frac{3}{3^{10}}$  is the answer for?

•  $3^{-2}\ \times\ 3^{-8}$  

• Giana is cool

•  $3^{2\ }\ \times\ \times3^8$  

• 1

• 0

Simplify the expression: 
c⁴⋅c³=

• c⁷