1/20\nwhich property of exponents justifies that $64^{1/3}$ is equivalent to $(8^2)^{1/3}$?\n1. negative…

1/20\nwhich property of exponents justifies that $64^{1/3}$ is equivalent to $(8^2)^{1/3}$?\n1. negative exponent property\n2. quotient of powers\n3. power of a power\n4. product of powers

1/20\nwhich property of exponents justifies that $64^{1/3}$ is equivalent to $(8^2)^{1/3}$?\n1. negative exponent property\n2. quotient of powers\n3. power of a power\n4. product of powers

Answer

Brief Explanations:

First, recognize that $64 = 8^2$, so rewriting $64^{1/3}$ as $(8^2)^{1/3}$ relies on substituting a base with an equivalent power. This matches the definition of the Power of a Power property, which handles expressions where a power is raised to another exponent.

Answer:

  1. Power of a Power