Knowing Exponents

When like bases are divided, you _________ exponents.

• Multiply

• Add

• Divide

• Subtract

When like bases are multiplied, you ______ exponents.

• add

• subtract

• multiply

• divide

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Tags

CCSS.8.EE.A.1

When an exponent is negative like $x^{-2}$ we move the base to the ________________ and change the sign to a _____________.

• numerator; positive

• denominator, positive

• numerator, negative

• denominator, negative

Use the product rule to simplify:  $a^4\cdot ab^3$  

•  $a^5b^3$  

•  $ab^7$  

•  $\left(ab\right)^{12}$  

• Cannot be combined

When an exponent is negative like  $\frac{1}{x^{-2}}$  we move the base to the ________________ and change the sign to _____________.

• numerator; positive

• denominator, positive

• numerator, negative

• denominator, negative

Use the product rule to simplify: $a^2\cdot a^3\cdot-a^3$  

•  $a^6\cdot-a^3$  

•  $-a^8$  

•  $a^5\cdot-a^3$  

•  $a^8$  

Simplify $x\cdot x\cdot x\cdot x\cdot x\cdot x$  

•  $6x$  

•  $x^6$  

•  $x^5$  

•  $x^{-6}$  

Simplify using the quotient rule: $\frac{a^5}{a^5}$  

• a

• 0

• a^25

• 1

Simplify using the quotient rule: $\frac{x^{10}}{x^6}$  

•  $x^{60}$  

•  $x^{-4}$  

•  $x^4$  

•  $\frac{1}{x^4}$