Multiplying Exponents - Practice

According to exponent rules, when we multiply the same base we _______ the exponents.

• Multiply
• Add
• Divide
• Subtract

5r²⋅ 6r

• 30r³
• 30r²
• 11r³
• 11r²

6k²⋅ k

• 6
• 6k
• 6k²
• 6k³

Tags

CCSS.HSA.APR.A.1

 10u³v⁵ ⋅ 7v³

• 70u³v¹⁵
• 17u³v⁸
• 70u³v⁸
• none of the above

9x⁵y²⋅ 9xy²

• 81x⁶y⁴
• 81x⁵y⁶
• 9x⁶y⁴
• none of the above

8x⁵y³⋅ 10xy³

• 80xy³
• 80x⁵y⁹
• 80x⁶y⁶
• none of the above

Which is the correct rule for multiplying exponents?

• For every non-zero number a and integers m and n: $a^m\cdot a^n=a^{m\cdot n}$

• For every non-zero number a and integers m and n: $a^m\cdot a^n=a^{m-n}$

• For every non-zero number a and integers m and n: $a^m\cdot a^n=a^{m+n}$

• For every non-zero number a and integers m and n: $a^m\cdot a^n=a^{m\div n}$

Simplify:  $2x^5\cdot x^2$  

•  $2x^{10}$  

•  $2x^5$  

•  $2x^7$  

•  $x^{12}$  

Simplify:  $5y^{-3}\cdot2y^7$  

•  $\frac{2y^7}{5y^3}$  

•  $10y^{-21}$  

•  $10y^4$  

•  $10y^{10}$  

Simplify:  $3m^2n^5p^0\cdot6m^4n^{-3}p$  

•  $18m^6n^2p$  

•  $\frac{2m^2n^8}{p}$  

•  $\frac{18m^8p^0}{n^{15}}$  

•  $9m^6n^2p$