Operations with Exponents

Simplify:  $7^5x\ 7^3$   

•  $7^{15}$  

•  $7^2$  

•  $7^8$  

•  $49^{21}$  

Tags

CCSS.8.EE.A.1

Simplify: ( – 5 )⁷ x ( – 5 ) ^-2 =

• $25^5$

• $-5^5$

• $\left(-5\right)^5$

• $\left(\frac{1}{5}\right)^5$

Tags

CCSS.8.EE.A.1

When multiplying exponential expressions and the BASES are the same....

• multiply the base, keep the exponent

• keep the base, add the exponent

• multiply the base and exponents

Tags

CCSS.8.EE.A.1

Simplify: $125^6\ x\ 125^{-9}$  

•  $125^{-3}$  

•  $125^{15}$  

•  $\left(\frac{1}{125}\right)^3$  

•  $\left(\frac{1}{125}\right)^{-3}$  

Tags

CCSS.8.EE.A.1

Solve: $4^{-4}$  

• 256

•  $\frac{1}{256}$  

•  $\frac{1}{16}$  

Tags

CCSS.8.EE.A.1

Simplify: $x^y\times\ x^z$  

•  $x\ ^{y+z}$  

•  $x^{\ y-z}$  

•  $x^{\ yz}$  

Tags

CCSS.8.EE.A.1

Simplify: $\left(-43\right)^{15}\ \times\ \left(-43\right)^{18}$  

•  $\left(\frac{1}{43}\right)^{33}$  

•  $\left(-43\right)^3$  

•  $\left(-43\right)^{33}$  

•  $\frac{1}{43}$  

Tags

CCSS.8.EE.A.1

When MULTIPLYING exponential expressions....if the bases are different BUT the exponents are the same

• keep the base, multiply the exponent

• keep the base, subtract the exponent

• multiply the base, keep the exponent

• multiply the base, add the exponent

Tags

CCSS.8.EE.A.1

Simplify: $2^2\ x\ 6^2$  

•  $12^4$  

•  $12^2$  

•  $12^0$  

Tags

CCSS.6.EE.A.1

Simplify: $3^{-5}\ x\ \left(-4\right)^{-5}$  

•  $\left(-12\right)^5$  

•  $\left(-12\right)^{-5}$  

•  $\left(\frac{1}{12}\right)^5$  

•  $\left(-\frac{1}{12}\right)^5$  

Tags

CCSS.8.EE.A.1