Laws of Exponents

Multiple Choice

Which expression is equivalent to (x^3/7)² ?

• x^6/14

• x^17/7

• x^6/7

• x^5/7

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Multiple Choice

Which expression is equivalent to $$\frac{8.8\ x\ 10^9}{2.2\ x\ 10^{-3}}$$ ?

• $$4\ x\ 10^{12}$$

• $$4\ x\ 10\ ^6$$

• $$4\ x\ 10^{-3}$$

• $$4\ x\ 10^{-6}$$

Multiple Choice

Which expression is equivalent to $$\frac{c^8\left(d^6\right)^3}{c^2}$$ for all values of c for which the expression is defined?

• $$c^4d^9$$

• $$c^4d^{18}$$

• $$c^6d^9$$

• $$c^6d^{18}$$

Multiple Choice

Which expression is equivalent to $$\left(x^9yz^4\right)^5$$ ?

• $$x^{14}y^6z^9$$

• $$x^{14}y^5z^9$$

• $$x^{45}yz^{20}$$

• $$x^{45}y^5z^{20}$$

Math Response

The expression $$\frac{36x^4y^5}{\left(3xy\right)^2}$$

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.

Type answer here

Correct Answer: 4x^2y^3

Deg^°

Rad