Exponential Expressions

Exponential Expressions

• Divide Coefficients

• ​Subtract the exponents of the variables that are the same

• A variable with a negative exponents has to be moved

​Divide Expressions

• Multiply Coefficients

• Add the exponents of variables that are the same

• Anything to the zero power is always equal to 1 !

Multiply Expressions

Example 1:Multiplying exponential expressions

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Simplify: $$\left(5x^2\right)^0$$ use the ^ for exponents if needed.

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Simplify: $$\left(-3x^4y\right)^2$$ , use the ^ for exponents.

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Simplify: $$\left(-5xy^6\right)\left(12x^3y^2\right)$$ use the ^ for exponents.

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Example 2:Divide exponential expressions

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Simplify: $$\frac{72x^6y^{17}}{12xy^4}$$ , use the ^ for exponents. Use / for fractions if needed.

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Simplify: $$\frac{25x^2y^{10}}{40x^5y^{18}}$$ use the ^ for exponents. Use / for fractions if needed.

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Simplify: $$\frac{6x^{12}y^5}{24x^8y^{11}}$$ use the ^ for exponents. Use / for fractions if needed.

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Add and subtract polynomial expressions

Add and subtract polynomial expressions

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Simplify: $$\left(3x-6\right)-\left(2x+8\right)$$

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Simplify: $$\left(4x^2-3x+8\right)+\left(-2x^2+8x-10\right)$$ use the ^ for exponents.

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Divide polynomial expressions

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Simplify: $$\frac{24x^4-20x^3+14x^2-8x}{2x}$$ use the ^ for exponents.

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Simplify: $$\frac{6x^2-3x}{x}$$ use the ^ for exponents if needed.

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