Question

Identify the property of exponents that states, "When you raise a power to another exponent, you multiply the exponents."

A) Product of Powers
B) Quotient of Powers
C) Power of a Power
D) Power of a Product
E) Power of a Quotient
F) Zero Exponent
G) Negative Exponent

Answer 1

The property of exponents that states, "When you raise a power to another exponent, you multiply the exponents" is called the Power of a Power property.

Step-by-step explanation:

The property of exponents that states, "When you raise a power to another exponent, you multiply the exponents" is called the Power of a Power property. This property tells us that when we have an exponent raised to another exponent, we can multiply the exponents together.

For example, if we have (x^a)^b, we can simplify it as x^(a*b). This means that we multiply the exponents a and b together to get the final exponent.

Similarly, if we have (a^m)(a^n), we can simplify it as a^(m+n). This means that we add the exponents m and n together when we multiply the base a by itself.