Multiplying and Dividing with Exponents

When multiplying like bases, we keep the bases the same and (a)   the exponents.

When dividing like bases, we keep the bases the same and (a)   the exponents.

 $x^3\ \cdot\ x^4$ 

 $\frac{d^{15}}{d^8}$  

 $\left(3y^6\right)\left(-5y^5\right)$  

 $\frac{27w^{10}}{3w^5}$  

 $\frac{4^6}{4^4}$  

Determine the value of the ? to make this statement true.

 $\frac{3^{12}}{3^?}=3^9$  

(a)  

 $9^?\ \cdot\ 9^2\ =\ 9^{12}$  

Determine the value of the ? to make this statement true.

(a)  

 $\left(8^2\right)\left(8^4\right)$