Here we can see that 3 to the power of minus 2 is the same as the fraction one over 3 squared:

Power of powers property. The power rules for exponents are: Let’s look at more examples of this exponent. Power of a power property:

The power property for logarithms states that as long as \(\ b≠1\), then \ \ \log _{b} x^{n}=n \log _{b} x\). A power, also called an exponent, tells how many times a base will be used as a factor in a multiplication. This is an extension of the product of powers property.

X 3 = x ⋅ x ⋅ x. From thinkwell's college algebrachapter 1 real numbers and their properties, subchapter 1.2 integer exponents If you're seeing this message, it means we're having trouble loading external resources on our website.

Suppose you have a number raised to a power, and you multiply the whole. This property states that the power of a power can be found by multiplying the exponents. For example, (x²)⁵ can be written as x¹⁰.

A legal document transferring the legal right to the attorney or agent to manage and access the principal's property in the event the principal is. Power of a product rule. Quotient of powers rule t^7 / t^3 = t^4.

Use this property to simplify expressions which involve division of powers. What is the quotient of powers property? The quotient of powers rule assists with simplifying exponents.