Laws of Exponents: Multiplying Exponents Review

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: $a^m\cdot a^n=a^{m\div n}$

Tags

CCSS.8.EE.A.1

Simplify:  $3^2\cdot3^4$  

•  $3^6$  

•  $3^8$  

•  $3^2$  

•  $3^{-2}$  

Tags

CCSS.8.EE.A.1

Simplify:  $5\cdot5^3$  

•  $5^1$  

•  $5^2$  

•  $5^3$  

•  $5^4$  

Tags

CCSS.8.EE.A.1

Simplify:  $2x^5\cdot x^2$  

•  $2x^{10}$  

•  $2x^5$  

•  $2x^7$  

•  $x^{12}$  

Tags

CCSS.8.EE.A.1

Simplify:  $7^9\cdot7^{-5}$  

•  $7^4$  

•  $7^{-45}$  

•  $\frac{1}{7^{45}}$  

•  $7^{14}$  

Tags

CCSS.8.EE.A.1

You can only multiply exponents when the bases are the same.

• True

• False

Tags

CCSS.8.EE.A.1

Simplify:  $5v^4\cdot w^2$  

•  $5v^4w^2$  

•  $5vw^8$  

•  $5vw^6$  

•  $5v^4\cdot w^2$  

Tags

CCSS.HSA.APR.A.1

Simplify:  $5y^{-3}\cdot2y^7$  

•  $\frac{2y^7}{5y^3}$  

•  $10y^{-21}$  

•  $10y^4$  

•  $10y^{10}$  

Tags

CCSS.HSA.APR.A.1

Simplify:  $3k^3\cdot5k$  

•  $2k^2$  

•  $15k^2$  

•  $15k^3$  

•  $15k^4$  

Tags

CCSS.HSA.APR.A.1

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

•  $18m^6n^2p$  

•  $\frac{2m^2n^8}{p}$  

•  $\frac{18m^8p^0}{n^{15}}$  

•  $18m^6n^2p$  

Tags

CCSS.HSA.APR.A.1