Rational Exponents and The Product Rule

Multiple Select

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Rational Exponents and The Product Rule

Objective: Multiply bases with rational exponents.

 

Drag and Drop

To perform the operation for $$y^8\times y^2$$ , you ​

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the exponents and get an answer of ​​

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Drag these tiles and drop them in the correct blank above

add

multiply

subtract

divide

​Multiplying Bases with Rational Exponents

​EXAMPLE

Math Response

Write your answer as a radical.

$$\left(y^{\frac{2}{9}}\right)\left(y^{\frac{4}{9}}\right)$$

Type answer here

Correct Answer: \sqrt[3]{y^2}

Deg^°

Rad

​Multiplying Bases with Rational Exponents

​EXAMPLE

Math Response

Evaluate: $$\left(4^{\frac{7}{5}}\right)\left(4^{\frac{3}{5}}\right)$$

Type answer here

Correct Answer: 16

Deg^°

Rad

​Multiplying Bases with Rational Exponents

​EXAMPLE

Math Response

Evaluate: $$\left(64^{\frac{1}{15}}\right)\left(64^{\frac{4}{15}}\right)$$

Type answer here

Correct Answer: 4

Deg^°

Rad

​Multiplying Bases with Rational Exponents

​EXAMPLE

Math Response

Evaluate: $$\left(9^{-\frac{3}{8}}\right)\left(9^{\frac{7}{8}}\right)$$

Type answer here

Correct Answer: 3

Deg^°

Rad

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