Quiz B Prep - Exponents Review

$$\frac{1}{4^2}$$

$$\frac{b^3}{a^3c^2}$$

$$b^5$$

$$\frac{2b}{a^3}$$

$$\frac{1}{a^8}$$

$$2xy^3\cdot3x^3y^4$$  

$$\frac{2x^4}{4x^2y}$$  

$$\left(2x^7y^3\right)^3$$  

$$3x^6y^7\times6x^2y$$  

$$5x^5y^4\div3x^2y^3$$  

With this operation, we subtract the exponents

$$\left(4x^3\right)^2=4^2x^{3\cdot2}=16x^6$$  

$$\left(3x^5y^7\right)\left(6xy^2\right)=3\cdot6\cdot x^{5+1}y^{7+2}=18x^6y^9$$  

With this operation, we add the exponents

$$\frac{x^5y^7}{x^3y^4}=x^{5-3}y^{7-4}=x^2y^3$$  

$$\left(3x^7\right)^2$$  

With this operation, we multiply the exponents

$$\frac{3x^4}{y^2}$$

$$3x^4y^2$$

$$\frac{x^4}{3y^2}$$

$$\frac{2x^4}{y^{-2}}$$

$$25x^8$$

$$25x^6$$

$$10x^8$$

$$10x^6$$

$$16x^6y^8$$

$$10x^6y^8$$

$$16x^8y^6$$

$$10x^8y^6$$

3x²y³

3x³y⁷

3x³y³

$$9x^{10}$$  

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$$18x^{10}$$