Negative Exponents (Part 1)

Negative Exponents (part 1)

Objective: Simplify exponential expressions with negative exponents

Math Response

Simplify:  $$\left(\frac{6x^3}{7y^5}\right)^2$$

Type answer here

Correct Answer: \frac{36x^6}{49y^{10}}

Deg^°

Rad

​Negative Exponents

​When the exponent is negative you apply the positive exponent to the reciprocal of the base.

​EXAMPLE

​Simplify:

​1) Flip the base

2) Apply the positive exponent

Math Response

Simplify:  $$\left(\frac{4}{9}\right)^{-3}$$  

Type answer here

Correct Answer: \frac{729}{64}

Deg^°

Rad

​EXAMPLES

​Simplify:

​Simplify:

Math Response

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

Type answer here

Correct Answer: \frac{125}{x^3}

Deg^°

Rad

​EXAMPLES

​Simplify:

​Simplify:

Math Response

Simplify:  $$\left(\frac{y^8}{x^5}\right)^{-6}$$  

Type answer here

Correct Answer: \frac{x^{30}}{y^{48}}

Deg^°

Rad

​EXAMPLES

​Simplify:

​Simplify:

​Simplify:

Drag and Drop

Simplify: $$x^{-5}$$ =​

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.

Simplify: $$\left(\frac{1}{3}\right)^{-3}$$ =​

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.

Simplify: $$3^{-3}$$ = ​

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