Combining Properties of Exponents

In the expression shown, x is a positive real number.

$$\frac{4x^{15}}{8x^{-10}}$$

What is the equivalent form of this expression?

Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.

​ (a)   ​ (b)  

Which expression is equivalent to $$\frac{\left(2y^5\right)^{-3}}{y}$$ for all values of y where the expression is defined?

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The expression ​ $$x^6y^3\div\left(\frac{x^2}{y}\right)$$ can be written as a product of two exponential terms with bases x and y for all values of x and y where the expression is defined. Choose the correct value off the exponent for each term.

Move the correct answer to each box. Not all answers will be used.

​ ​ (a)   ​ (b)  

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