MYP 4- Laws of Exponents Recap

Multiple Choice

Evaluate this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

Multiple Choice

$$\left(3x^4\right)^5$$  

• $$15x^9$$  

• $$243x^{20}$$  

• $$15x^{20}$$  

• $$243x^9$$  

Multiple Choice

Simplify: $$8\left(x^4\right)^{\frac{1}{2}}$$  

• $$4x^2$$  

• $$8x^2$$  

• $$4x^4$$  

• $$8x^4$$  

Multiple Choice

Which expression is equivalent to $$\frac{x^2y^2z^2}{4y^4}$$ ?

• $$4y^6$$  

• $$y^6$$  

• $$\frac{x^2z^2}{4y^2}$$  

• $$4x^2y^6z^2$$  

Multiple Choice

$$\left(7x^3\right)^0$$  

• 1

• 7

• $$21x^3$$  

• $$x^{10}$$  

Multiple Choice

The area of a rectangle is $$72r^5s^2t^7$$ square units. If the length if the rectangle is  $$3r^2t^4$$ units, what is therectangle's width?

• $$69r^2s^2t^2$$  

• $$14r^3st$$  

• $$36r^2t^4$$  

• $$24r^3s^2t^3$$  

Multiple Choice

Simplify: $$4x^5\cdot6x^{10}$$  

• $$24x^{15}$$  

• $$10x^{15}$$  

• $$\sqrt{24x^{15}}$$  

• $$\sqrt{10x^{15}}$$  

Multiple Choice

Which expression represents the product of $$\left(2x^2y^2\right)\left(3x^3y^3\right)$$ ?

• $$6x^6y^6$$  

• $$5x^5y^5$$  

• $$5x^6y^6$$  

• $$6x^5y^5$$  

Multiple Choice

Simplify (-5.7)⁰

• 1
• 0
• -1
• -5.7

Multiple Choice

Which expression is NOT equivalent to  $$3^8$$ ?

• $$\left(3^6\right)\left(3^2\right)$$  

• $$\left(3^4\right)^2$$  

• $$\left(3^4\right)\left(3^4\right)$$  

• $$\left(3^4\right)^4$$  

Multiple Choice

$$\frac{1}{a^{-5}}$$  

• $$a^{-5}$$  

• $$\frac{a}{5}$$  

• $$a^5$$  

• $$\frac{5}{a}$$  

Multiple Choice

Which expression represents the product of  $$\left(abc\right)\left(3c\right)$$ ?

• $$3abc^3$$  

• $$3abc^2$$  

• $$4abc^3$$  

• $$3c^2$$  

Multiple Choice

$$k^{-6}$$  

• $$\frac{k}{6}$$  

• $$\frac{6}{k}$$  

• $$k^6$$  

• $$\frac{1}{k^6}$$  

Multiple Choice

Simplify: $$\left(s^2r^{-4}\right)\left(s^6r^{-2}\right)$$  

• $$\frac{s^8}{r^6}$$  

• $$\frac{s^{15}}{r^8}$$  

• $$r^6s^8$$  

• $$r^7s^{13}$$  

Multiple Choice

$$\left(-7x^2\right)\left(4x^4\right)$$  

• $$-28x^8$$  

• $$-28x^6$$  

• $$-3x^8$$  

• $$-3x^6$$  

Multiple Choice

• a⁷

• a¹⁰

• a³

• a^-3

Multiple Choice

Which expression is equivalent to $$\frac{15x^7y^2}{3x^4y^3}$$ ?

• $$5x^3y$$  

• $$12x^3y$$  

• $$\frac{5x^3}{y}$$  

• $$\frac{12x^3}{y}$$  

Multiple Choice

• 3

• 0

• 1

• 1/3

Multiple Choice

$$4z^4\cdot6z^{-6}$$  

• $$\frac{24}{z^2}$$  

• $$24z^{-24}$$  

• $$\frac{10}{z^2}$$  

• $$10z^{-24}$$  

Multiple Choice

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

• Multiply

• Add

• Divide

• Subtract

Multiple Choice

Simplify:
(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

Multiple Choice

$$\left(3xy\right)\left(xy\right)$$  

• $$x^2y^2$$  

• $$3xy$$  

• $$3x^2y^2$$  

• $$\frac{xy}{3xy}$$  

Multiple Choice

n²⋅n⁴⋅n⁵

• n¹¹

• n⁴⁰

• n¹³

• n²²

Multiple Choice

Multiply

• 100
• 10¹
• 10^-2
• 1/100

Multiple Choice

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

Multiple Choice

Make this negative exponent positive.
9^-3

• 9³

• 1/9^-3

• 1/9³

• 729

Multiple Choice

x^-3

• 1/x³
• 1/x^-3
• 3x
• 1/3x