Laws of Exponents Review

Let's review Laws of Exponents!

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Multiple Choice

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

According to the product rule, when we multiply the number with exponents with the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

Multiple Choice

The quotient law states: Keep the base the same and _________ the exponents.

• multiply
• add
• subtract
• divide

Multiple Choice

Anything raised to a power of zero is always:

• 0

• 1

• itself

• negative

Multiple Choice

Negative Exponent Law states: you must change the exponent to a positive by doing what?

• just change it to positive

• move to the bottom of fraction bar

• move it to the opposite side of fraction bar

Poll

How do we feel about Laws of Exponents Rules?

Multiple Choice

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

• x⁶

• 6x

• x³

• 6x⁶

Multiple Choice

Simplify the expression.
x⁴ (x¹²)

• x³
• x⁴⁸
• x¹⁶
• x⁸

Multiple Choice

Simplify (-4r⁵)(2r⁸)

• -8r¹³

• -2r¹³

• -8r⁴⁰

• -2y⁴⁰

Multiple Choice

Simplify:  $\frac{k^4}{k^8}$  

•  $k^{-4}$  

•  $\frac{1}{k^4}$  

•  $k^4$  

•  $k^{12}$  

Multiple Choice

Simplify:  $\frac{10h^9}{5h^7}$  

•  $\frac{2}{h^2}$  

•  $\frac{1}{2h^2}$  

•  $15h^{16}$  

•  $2h^2$  

Multiple Choice

Simplify: $\frac{4x^{12}}{2x^4}$  

•  $2x^8$  

•  $\frac{2}{x^3}$  

•  $2x^3$  

•  $\frac{1}{2x^8}$  

Multiple Choice

 $9x^6y^2\cdot5x^2y^3$  

•  $14x^8y^5$  

•  $14x^{12}y^6$  

•  $45x^8y^5$  

•  $45x^{12}y^6$  

•  $45x^8y^6$  

Multiple Choice

 $\frac{18w^{15}v^{10}}{6w^3v^2}$  

•  $12w^{12}v^8$  

•  $3w^{12}v^8$  

•  $3w^5v^5$  

•  $12w^5v^5$  

Multiple Choice

Simplify:  $\frac{x^8y^7z^6}{x^5y^4z^3}$  

•  $x^3y^3z^3$  

•  $x^{13}y^{11}z^9$  

•  $\frac{1}{x^3y^3z^3}$  

•  $x^{40}y^{28}z^{18}$  

Multiple Choice

Simplify: $\left(3x^{-3}y^5\right)^{-2}$  

•  $\frac{x^6}{9y^{10}}$  

•  $-\frac{x^6}{9y^{10}}$  

•  $\frac{1}{9x^5y^7}$  

•  $-\frac{6}{x^6y^{10}}$  

Multiple Choice

 $7a^4b\cdot\left(-3a^5b^6\right)^2$  

•  $63a^{40}b^{12}$  

•  $-42a^{40}b^{12}$  

•  $-63a^{14}b^{13}$  

•  $63a^{14}b^{13}$  

Multiple Choice

Simplify: $\left(2x^4y^{-3}\right)\left(-5x^{-2}y^{-1}\right)$  

•  $\frac{-10x^2}{y^4}$  

•  $\frac{-10y^4}{x^8}$  

•  $\frac{2x^2}{5y^4}$  

•  $\frac{x^2}{10y^4}$  

Multiple Choice

Simplify: $\frac{6x^{-2}y^3}{2x^5y^{-1}}$  

•  $\frac{3y^4}{x^7}$  

•  $\frac{4y^4}{x^7}$  

•  $8x^7y^4$  

•  $\frac{4y^4}{x^7}$  

Multiple Choice

Simplify: $\frac{12x^5y^4}{4x^3y^7}$  

•  $\frac{3x^2}{y^3}$  

•  $3x^2y^3$  

•  $\frac{8x^2}{y^3}$  

•  $\frac{8y^3}{x^2}$  

Multiple Choice

 $\frac{\left(m^3n^4\right)^{-3}}{nm^0\cdot2m^2}$  

•  $n^3m$  

•  $\frac{1}{2m^{11}n^{13}}$  

•  $\frac{1}{n^{12}}$  

•  $\frac{2m^9}{n^6}$  

Multiple Choice

 $\frac{\left(8m^6n^4\right)^3}{4m^3n^2}$  

•  $128m^{15}n^{10}$  

•  $128m^6n^6$  

•  $6m^{15}n^{10}$  

•  $6m^6n^6$  

Multiple Choice

 $\left(\frac{2y^0}{2x^4y^4\cdot x}\right)^2$  

•  $\frac{1}{x^{10}y^8}$  

•  $\frac{4y^6}{x}$  

•  $\frac{x^{10}}{2y}$  

•  $\frac{x^{16}}{y^3}$  

Poll

How are you feeling about Laws of Exponents?